Tootfinder

A new family of locally $5$-arc transitive graphs of pushing up type with respect to the prime 3
J. van Bon
https://arxiv.org/abs/2404.05353 https://

A new family of locally $5$-arc transitive graphs of pushing up type with respect to the prime 3
Let $q$ be a power of the prime 3. A locally 5-arc transitive $G$-graph of pushing up type is constructed for each value of $q$. For $q=3$, the $G$-graph constructed provides an example of a graph with a vertex stabilizer amalgam of shape ${\cal E}_1$ in the sense of [1]. Whereas, for the other values of $q$, the vertex stabilizer amalgam of the $G$-graph is of a previously unknown shape. In particular, for $q \neq 3$, these graphs are the first examples of locally 5-arc transitive graphs conta…

Tamanoi equation for orbifold Euler characteristics: revisited
Sabir M. Gusein-Zade
https://arxiv.org/abs/2405.03843 https://arxiv.or…

Tamanoi equation for orbifold Euler characteristics: revisited
Tamanoi equation is a Macdonald type equation for the orbifold Euler characteristic and for its analogues of higher orders. It claims that the generating series of the orbifold Euler characteristics of a fixed order of analogues of the symmetric powers for a space with a finite group action can be represented as a certain unified (explicitly written) power series in the exponent equal to the orbifold Euler characteristic of the same order of the space itself. In the paper, in particular, we exp…

Foreground biases in strong gravitational lensing
Daniel Johnson, Pierre Fleury, Julien Larena, Lucia Marchetti
https://arxiv.org/abs/2405.04194 https://…

Foreground biases in strong gravitational lensing
Strong gravitational lensing is a competitive tool to probe the dark matter and energy content of the universe. However, significant uncertainties can arise from the choice of lens model, and in particular the parameterisation of the line of sight. In this work, we consider the consequences of ignoring the contribution of foreground perturbers in lens modelling. We derive the explicit form of the degeneracy between the foreground shear and the ellipticity of a power law lens, which renders both…

On the chromatic number of powers of subdivisions of graphs
Michael Anastos, Simona Boyadzhiyska, Silas Rathke, Juanjo Ru\'e
https://arxiv.org/abs/2404.05542

On the chromatic number of powers of subdivisions of graphs
For a given graph $G=(V,E)$, we define its $n$-th subdivision as the graph obtained from $G$ by replacing every edge by a path of length $n$. We also define the $m$-th power of $G$ as the graph on vertex set $V$ where we connect every pair of vertices at distance at most $m$ in $G$. In this paper we study the chromatic number of powers of subdivisions of graphs and we obtain an exact bound for $n=3$ and $m=2$. Additionally, we resolve the case $m=n$ asymptotically; in particular, our result con…

This https://arxiv.org/abs/2312.14868 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Improving the potential of BDF@SPS to search for new physics with liquid argon time projection chambers
Beam dump experiments proposed at the SPS are perfectly suited to explore the parameter space of models with long-lived particles, thanks to the combination of a large intensity with a high proton beam energy. In this paper, we study how the exploration power may be augmented further by installing a detector based on liquid argon time projection chamber technology. In particular, we consider several signatures of new physics particles that may be uniquely searched for with such a detector, incl…

This https://arxiv.org/abs/2312.13338 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

An analytic description of substructure-induced gravitational perturbations in stellar systems
Perturbations to stellar systems can reflect the gravitational influence of dark matter substructures. On scales much smaller than the size of a stellar system, we point out analytic connections between the stellar and dark matter distributions. In particular, the density and velocity power spectra of the stars are proportional to the density power spectrum of the perturbing dark matter, scaled by $k^{-4}$. This relationship allows easy evaluation of the suitability of a stellar system for dete…

This https://arxiv.org/abs/2401.06565 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
In this paper, we focus on studying the Cauchy problem for semilinear damped wave equations involving the sub-Laplacian $\mathcal{L}$ on the Heisenberg group $\mathbb{H}^n$ with power type nonlinearity $|u|^p$ and initial data taken from Sobolev spaces of negative order homogeneous Sobolev space $\dot H^{-γ}_{\mathcal{L}}(\mathbb{H}^n), γ>0$, on $\mathbb{H}^n$. In particular, in the framework of Sobolev spaces of negative order, we prove that the critical exponent is the exponent $p…

Optimized Tone Reservation for Opportunistic OFDM Communications and Sensing
Getuar Rexhepi, Kengo Ando, Giuseppe Thadeu Freitas de Abreu
https://arxiv.org/abs/2405.03833

Optimized Tone Reservation for Opportunistic OFDM Communications and Sensing
We consider the problem of peak-to-average power ratio (PAPR) reduction in orthogonal frequency division multiplexing (OFDM) systems via optimized sparsification of tone reservation (TR). In particular, we propose a novel TR optimization method in which the minimum number of effectively used peak-reserved tones (PRTs) required to satisfy a prescribed PAPR level is found, leaving the remaining PRTs free to be opportunistically utilized by other functionalities, such as joint communication and se…

This https://arxiv.org/abs/2303.05551 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Extending partial edge colorings of iterated cartesian products of cycles and paths
We consider the problem of extending partial edge colorings of iterated cartesian products of even cycles and paths, focusing on the case when the precolored edges satisfy either an Evans-type condition or is a matching. In particular, we prove that if $G=C^d_{2k}$ is the $d$th power of the cartesian product of the even cycle $C_{2k}$ with itself, and at most $2d-1$ edges of $G$ are precolored, then there is a proper $2d$-edge coloring of $G$ that agrees with the partial coloring. We show that …

This https://arxiv.org/abs/2308.00484 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Uniform attachment with freezing: Scaling limits
We investigate scaling limits of trees built by uniform attachment with freezing, which is a variant of the classical model of random recursive trees introduced in a companion paper. Here vertices are allowed to freeze, and arriving vertices cannot be attached to already frozen ones. We identify a phase transition when the number of non-frozen vertices roughly evolves as the total number of vertices to a given power. In particular, we observe a critical regime where the scaling limit is a rando…

This https://arxiv.org/abs/2401.09614 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

From inflation to dark matter halo profiles: the impact of primordial non-Gaussianities on the central density cusp
It has recently been shown that local primordial non-Gaussianities (PNG) with significant amplitude ($|f_{\rm NL}| \sim 1000$), at small (Mpc) scales, can help in forming simulated galaxies with more disky baryonic kinematics than in the Gaussian case, while generating matter power spectra that can differ by up to 20% from the Gaussian case at non-linear scales. Here, we explore in detail the consequences of such small-scale PNG on the dark matter halo profiles. We show in particular …

Neural Network Quantum States for the Interacting Hofstadter Model with Higher Local Occupations and Long-Range Interactions
Fabian D\"oschl, Felix A. Palm, Hannah Lange, Fabian Grusdt, Annabelle Bohrdt
https://arxiv.org/abs/2405.04472

Neural Network Quantum States for the Interacting Hofstadter Model with Higher Local Occupations and Long-Range Interactions
Due to their immense representative power, neural network quantum states (NQS) have gained significant interest in current research. In recent advances in the field of NQS, it has been demonstrated that this approach can compete with state-of-the-art numerical techniques, making NQS a compelling alternative, in particular for the simulation of large, two-dimensional quantum systems. In this study, we show that recurrent neural network (RNN) wave functions can be employed to study systems releva…

A Riemannian Manifold Approach to Constrained Resource Allocation in ISAC
Shayan Zargari, Diluka Galappaththige, Chintha Tellambura, Vincent Poor
https://arxiv.org/abs/2404.05173 …

A Riemannian Manifold Approach to Constrained Resource Allocation in ISAC
This paper introduces a new resource allocation framework for integrated sensing and communication (ISAC) systems, which are expected to be fundamental aspects of sixth-generation networks. In particular, we develop an augmented Lagrangian manifold optimization (ALMO) framework designed to maximize communication sum rate while satisfying sensing beampattern gain targets and base station (BS) transmit power limits. ALMO applies the principles of Riemannian manifold optimization (MO) to navigate …

This https://arxiv.org/abs/2401.09614 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

From inflation to dark matter halo profiles: the impact of primordial non-Gaussianities on the central density cusp
It has recently been shown that local primordial non-Gaussianities (PNG) with significant amplitude ($|f_{\rm NL}| \sim 1000$), at small (Mpc) scales, can help in forming simulated galaxies with more disky baryonic kinematics than in the Gaussian case, while generating matter power spectra that can differ by up to 20% from the Gaussian case at non-linear scales. Here, we explore in detail the consequences of such small-scale PNG on the dark matter halo profiles. We show in particular …

This https://arxiv.org/abs/2402.04905 has been replaced.
link: https://scholar.google.com/scholar?q=a

How much strangeness is needed for the axial-vector form factor of the nucleon?
We consider the axial-vector together with its induced pseudo-scalar form factor of the nucleon as computed from the chiral Lagrangian with nucleon and isobar degrees of freedom. The form factors are evaluated at the one-loop level, where particular emphasis is put on the use of on-shell masses in the loop expressions. Our results are presented in terms of a novel set of basis functions that generalize the Passarino--Veltman scheme to the case where power-counting violating structures are to be…

This https://arxiv.org/abs/2302.03196 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Growth of k-dimensional systoles in congruence coverings
We study growth of absolute and homological $k$-dimensional systoles of arithmetic $n$-manifolds along congruence coverings. Our main interest is in the growth of systoles of manifolds whose real rank $r > 1$. We observe, in particular, that in some cases for $k = r$ the growth function tends to oscillate between a power of a logarithm and a power function of the degree of the covering. This is a new phenomenon. We also prove the expected polylogarithmic and constant power bounds for small and …

Symmetric Power L-functions of the hyper-Kloosterman Family
C. Douglas Haessig, Steven Sperber
https://arxiv.org/abs/2402.13051 https://

Symmetric Power L-functions of the hyper-Kloosterman Family
The symmetric power L-function of the hyper-Kloosterman family is a rational function over the integers. Its degree and complex absolute values of its zeros and poles are now known through the work of Fu and Wan. The purpose of this paper is to study the p-adic absolute value of these zeros and poles. In particular, we give a uniform lower bound, independent of the symmetric power, of the q-adic Newton polygon of this $L$-function under suitable conditions. We also give similar results for any …

This https://arxiv.org/abs/2402.07524 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Semialgebraicity of the convergence domain of an algebraic power series
Given a power series in finitely many variables that is algebraic over the corresponding polynomial ring over a subfield of the reals, we show that its convergence domain is semialgebraic over the real closure of the subfield. This gives in particular that the convergence radius of a univariate Puiseux series that is algebraic in the above sense belongs to the real closure or is infinity.

This https://arxiv.org/abs/2010.11970 has been replaced.
link: https://scholar.google.com/scholar?q=a

Two-sample Test using Projected Wasserstein Distance
We develop a projected Wasserstein distance for the two-sample test, a fundamental problem in statistics and machine learning: given two sets of samples, to determine whether they are from the same distribution. In particular, we aim to circumvent the curse of dimensionality in Wasserstein distance: when the dimension is high, it has diminishing testing power, which is inherently due to the slow concentration property of Wasserstein metrics in the high dimension space. A key contribution is to …

On the Bit Complexity of Iterated Memory
Guillermo Toyos-Marfurt, Petr Kuznetsov
https://arxiv.org/abs/2402.12484 https://arxiv.org/p…

On the Bit Complexity of Iterated Memory
Computability, in the presence of asynchrony and failures, is one of the central questions in distributed computing. The celebrated asynchronous computability theorem (ACT) charaterizes the computing power of the read-write shared-memory model through the geometric properties of its protocol complex: a combinatorial structure describing the states the model can reach via its finite executions. This characterization assumes that the memory is of unbounded capacity, in particular, it is able to s…

Building test batteries based on analysing random number generator tests within the framework of algorithmic information theory
Boris Ryabko
https://arxiv.org/abs/2404.02708

Building test batteries based on analysing random number generator tests within the framework of algorithmic information theory
The problem of testing random number generators is considered and it is shown that an approach based on algorithmic information theory allows us to compare the power of different tests in some cases where the available methods of mathematical statistics do not distinguish between the tests. In particular, it is shown that tests based on data compression methods using dictionaries should be included in the test batteries.

This https://arxiv.org/abs/2302.03196 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Growth of k-dimensional systoles in congruence coverings
We study growth of absolute and homological $k$-dimensional systoles of arithmetic $n$-manifolds along congruence coverings. Our main interest is in the growth of systoles of manifolds whose real rank $r > 1$. We observe, in particular, that in some cases for $k = r$ the growth function tends to oscillate between a power of a logarithm and a power function of the degree of the covering. This is a new phenomenon. We also prove the expected polylogarithmic and constant power bounds for small and …

This https://arxiv.org/abs/2207.07321 has been replaced.
link: https://scholar.google.com/scholar?q=a

Averaged Deep Denoisers for Image Regularization
Plug-and-Play (PnP) and Regularization-by-Denoising (RED) are recent paradigms for image reconstruction that leverage the power of modern denoisers for image regularization. In particular, they have been shown to deliver state-of-the-art reconstructions with CNN denoisers. Since the regularization is performed in an ad-hoc manner, understanding the convergence of PnP and RED has been an active research area. It was shown in recent works that iterate convergence can be guaranteed if the denoiser…

This https://arxiv.org/abs/2207.06956 has been replaced.
link: https://scholar.google.com/scholar?q=a

Cover and Hitting Times of Hyperbolic Random Graphs
We study random walks on the giant component of Hyperbolic Random Graphs (HRGs), in the regime when the degree distribution obeys a power law with exponent in the range $(2,3)$. In particular, we first focus on the expected time for a random walk to hit a given vertex or visit, i.e. cover, all vertices. We show that, a.a.s. (with respect to the HRG), and up to multiplicative constants: the cover time is $n(\log n)^2$, the maximum hitting time is $n\log n$, and the average hitting time is $n$. W…

Bayesian D-Optimal Experimental Designs via Column Subset Selection: The Power of Reweighted Sensors
Srinivas Eswar, Vishwas Rao, Arvind K. Saibaba
https://arxiv.org/abs/2402.16000

Bayesian D-Optimal Experimental Designs via Column Subset Selection: The Power of Reweighted Sensors
This paper tackles optimal sensor placement for Bayesian linear inverse problems, a popular version of the more general Optimal Experiment Design (OED) problem, using the D-optimality criterion. This is done by establishing connections between sensor placement and Column Subset Selection Problem (CSSP), which is a well-studied problem in Numerical Linear Algebra (NLA). In particular, we use the Golub-Klema-Stewart (GKS) approach which involves computing the truncated Singular Value Decompositio…

This https://arxiv.org/abs/2310.06650 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

A Parallelized, Adam-Based Solver for Reserve and Security Constrained AC Unit Commitment
Power system optimization problems which include the nonlinear AC power flow equations require powerful and robust numerical solution algorithms. Within this sub-field of nonlinear optimization, interior point methods have come to dominate the solver landscape. Over the last decade, however, a number of efficient numerical optimizers have emerged from the field of Machine Learning (ML). One algorithm in particular, Adam, has become the optimizer-of-choice for a massive percentage of ML training…

This https://arxiv.org/abs/2404.05542 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the chromatic number of powers of subdivisions of graphs
For a given graph $G=(V,E)$, we define its $n$-th subdivision as the graph obtained from $G$ by replacing every edge by a path of length $n$. We also define the $m$-th power of $G$ as the graph on vertex set $V$ where we connect every pair of vertices at distance at most $m$ in $G$. In this paper we study the chromatic number of powers of subdivisions of graphs and we obtain an exact bound for $n=3$ and $m=2$. Additionally, we resolve the case $m=n$ asymptotically; in particular, our result con…

Minimizing movements for the generalized power mean curvature flow
Giovanni Bellettini, Shokhrukh Yu. Kholmatov
https://arxiv.org/abs/2403.20244 https://…

Minimizing movements for the generalized power mean curvature flow
Motivated by a conjecture of De Giorgi, we consider the Almgren-Taylor-Wang scheme for mean curvature flow, where the volume penalization is replaced by a term of the form \[ \int_{EΔF} f\Big(\frac{ {\rm d}_F }τ\Big)~dx \] for $f$ ranging in a large class of strictly increasing continuous functions. In particular, our analysis covers the case \[ f(r) = r^α, \qquad r \geq 0, \quad α>0, \] considered by De Giorgi. We show that the generalized minimizing movement scheme converges to the geomet…

Distribution of cycles in supersingular $\ell$-isogeny graphs
Eli Orvis
https://arxiv.org/abs/2403.14831 https://arxiv.org/pdf/2403.1…

Distribution of cycles in supersingular $\ell$-isogeny graphs
Recent work by Arpin, Chen, Lauter, Scheidler, Stange, and Tran counted the number of cycles of length $r$ in supersingular $\ell$-isogeny graphs. In this paper, we extend this work to count the number of cycles that occur along the spine. We provide formulas for both the number of such cycles, and the average number as $p \to \infty$, with $\ell$ and $r$ fixed. In particular, we show that when $r$ is not a power of $2$, cycles of length $r$ are disproportionately likely to occur along the spin…

This https://arxiv.org/abs/2401.02377 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The "exponential" torsion of superelliptic Jacobians
Let $J$ be the Jacobian of a superelliptic curve defined by the equation $y^{\ell} = f(x)$, where $f$ is a separable polynomial of degree non-divisible by $\ell$. In this article we study the "exponential" (i.e. $\ell$-power) torsion of $J$. In particular, under some mild conditions on the polynomial $f$, we determine the image of the associated $\ell$-adic representation up to the determinant. We show also that the image of the determinant is contained in an explicit $\mathbb Z_{\ell}$-lattice…

A Disruptive Research Playbook for Studying Disruptive Innovations
Margaret-Anne Storey, Daniel Russo, Nicole Novielli, Takashi Kobayashi, Dong Wang
https://arxiv.org/abs/2402.13329

A Disruptive Research Playbook for Studying Disruptive Innovations
As researchers, we are now witnessing a fundamental change in our technologically-enabled world due to the advent and diffusion of highly disruptive technologies such as generative AI, Augmented Reality (AR) and Virtual Reality (VR). In particular, software engineering has been profoundly affected by the transformative power of disruptive innovations for decades, with a significant impact of technical advancements on social dynamics due to its the socio-technical nature. In this paper, we refle…

This https://arxiv.org/abs/2401.14040 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCL_…

(Chat)GPT v BERT: Dawn of Justice for Semantic Change Detection
In the universe of Natural Language Processing, Transformer-based language models like BERT and (Chat)GPT have emerged as lexical superheroes with great power to solve open research problems. In this paper, we specifically focus on the temporal problem of semantic change, and evaluate their ability to solve two diachronic extensions of the Word-in-Context (WiC) task: TempoWiC and HistoWiC. In particular, we investigate the potential of a novel, off-the-shelf technology like ChatGPT (and GPT) 3.…

Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
Eva-Maria Hekkelman, Edward McDonald, Teun D. H. van Nuland
https://arxiv.org/abs/2404.16338

Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
We push the definition of multiple operator integrals (MOIs) into the realm of unbounded operators, using the pseudodifferential calculus from the works of Connes and Moscovici, Higson, and Guillemin. This in particular provides a natural language for operator integrals in noncommutative geometry. For this purpose, we develop a functional calculus for these pseudodifferential operators. To illustrate the power of this framework, we provide a pertubative expansion of the spectral action for regu…

Simple tunable phase-locked lasers for quantum technologies
Nicola Agnew, David Lowit, Aidan S. Arnold
https://arxiv.org/abs/2404.16806 https://arxiv.org/pdf/2404.16806
arXiv:2404.16806v1 Announce Type: new
Abstract: In a wide range of quantum technology applications, ranging from atomic clocks to the creation of ultracold or quantum degenerate samples for atom interferometry, optimal laser sources are critical. In particular, two phase-locked laser sources with a precise difference frequency are needed for efficient coherent population trapping (CPT) clocks, gray molasses laser cooling, or driving Raman transitions. Here we show how a simple cost-effective laser diode can selectively amplify only one sideband of a fiber-electrooptically-modulated seed laser to produce moderate-power phase-locked light with sub-Hz relative linewidth and tunable difference frequencies up to $\approx 15\,$GHz. The architecture is readily scalable to multiple phase-locked lasers and could conceivably be used for future on-chip compact phase-locked laser systems for quantum technologies.

This https://arxiv.org/abs/2205.00530 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generalized Fisher-Darmois-Koopman-Pitman Theorem and Rao-Blackwell Type Estimators for Power-Law Distributions
This paper generalizes the notion of sufficiency for estimation problems beyond maximum likelihood. In particular, we consider estimation problems based on Jones et al. and Basu et al. likelihood functions that are popular among distance-based robust inference methods. We first characterize the probability distributions that always have a fixed number of sufficient statistics (independent of sample size) with respect to these likelihood functions. These distributions are power-law extensions of…

This https://arxiv.org/abs/2402.11748 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSD_…

Low-power SNN-based audio source localisation using a Hilbert Transform spike encoding scheme
Sound source localisation is used in many consumer electronics devices, to help isolate audio from individual speakers and to reject noise. Localization is frequently accomplished by "beamforming" algorithms, which combine microphone audio streams to improve received signal power from particular incident source directions. Beamforming algorithms generally use knowledge of the frequency components of the audio source, along with the known microphone array geometry, to analytically phase-shift mi…

This https://arxiv.org/abs/2311.07781 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Ex Post Conditions for the Exactness of Optimal Power Flow Conic Relaxations
Convex relaxations of the optimal power flow (OPF) problem provide an efficient alternative to solving the intractable alternating current (AC) optimal power flow. The conic subset of OPF convex relaxations, in particular, greatly accelerate resolution while leading to high-quality approximations that are exact in several scenarios. However, the sufficient conditions guaranteeing exactness are stringent, e.g., requiring radial topologies. In this short communication, we present two equivalent e…

This https://arxiv.org/abs/2402.13569 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Capillary levelling of thin liquid films of power-law rheology
We find solutions that describe the levelling of a thin fluid film, comprising a non-Newtonian power-law fluid, that coats a substrate and evolves under the influence of surface tension. We consider the evolution from both periodic and localised initial conditions as separate cases. Particular (similarity) solutions in each of these two cases exhibit the generic property that the profiles are weakly singular (that is, higher-order derivatives do not exist), at points where the pressure gradient…

This https://arxiv.org/abs/2404.05542 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the chromatic number of powers of subdivisions of graphs
For a given graph $G=(V,E)$, we define its $n$-th subdivision as the graph obtained from $G$ by replacing every edge by a path of length $n$. We also define the $m$-th power of $G$ as the graph on vertex set $V$ where we connect every pair of vertices at distance at most $m$ in $G$. In this paper we study the chromatic number of powers of subdivisions of graphs and we obtain an exact bound for $n=3$ and $m=2$. Additionally, we resolve the case $m=n$ asymptotically; in particular, our result con…

This https://arxiv.org/abs/2107.09343 has been replaced.
link: https://scholar.google.com/scholar?q=a

Neural-Network-based NLOS Identification in Angular Domain at 60-GHz
This paper introduces an identification method that determines whether a millimeter-wave wireless transmission using directional antennas is being established over a line-of-sight (LOS) or a non-line-of-sight (NLOS) cluster for indoor localization applications. The proposed technique utilizes the channel power angular spectrum that is readily available from a beam training process. In particular, the behavior of five different channel metrics, namely the spatial-domain, time-domain, and frequen…

Low-Regularity Solutions of the Nonlinear Schr\"odinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, T\"urker Ozsar{\i}
https://arxiv.org/abs/2403.15350

Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with Sobolev initial data and Dirichlet boundary data in appropriate Bourgain-type spaces. As both of the spatial variables are restricted to the half-line, a different approach is needed than the one previously used for the well-posedness of other initial-boundary value problems. In particular, now the solution of the forc…

Bayesian D-Optimal Experimental Designs via Column Subset Selection: The Power of Reweighted Sensors
Srinivas Eswar, Vishwas Rao, Arvind K. Saibaba
https://arxiv.org/abs/2402.16000

Bayesian D-Optimal Experimental Designs via Column Subset Selection: The Power of Reweighted Sensors
This paper tackles optimal sensor placement for Bayesian linear inverse problems, a popular version of the more general Optimal Experiment Design (OED) problem, using the D-optimality criterion. This is done by establishing connections between sensor placement and Column Subset Selection Problem (CSSP), which is a well-studied problem in Numerical Linear Algebra (NLA). In particular, we use the Golub-Klema-Stewart (GKS) approach which involves computing the truncated Singular Value Decompositio…

A Novel Temperature-based Model for SWIPT
Elio Faddoul, Yuan Guo, Christodoulos Skouroumounis, Ioannis Krikidis
https://arxiv.org/abs/2403.17792 https://…

A Novel Temperature-based Model for SWIPT
In this letter, a novel communication paradigm for simultaneous wireless information and power transfer (SWIPT) is proposed, which leverages the thermal characteristics of electromagnetic signals. In particular, the proposed scheme exploits the inherent thermal dynamics of electromagnetic signals, enabling the seamless integration of information decoding and energy harvesting (EH). As a consequence, in contrast to conventional SWIPT techniques, the proposed model eliminates the need to divide t…

Automorphisms and derivations on algebras endowed with formal infinite sums
Vincent Bagayoko, Sebastian Krapp, Salma Kuhlmann, Daniel Panazzolo, Michele Serra
https://arxiv.org/abs/2403.05827

Automorphisms and derivations on algebras endowed with formal infinite sums
We establish a correspondence between automorphisms and derivations on certain algebras of generalised power series. In particular, we describe a Lie algebra of derivations on a field $k(\!(G)\!)$ of generalised power series, exploiting our knowledge of its group of valuation preserving automorphisms. The correspondence is given by the formal Taylor expansion of the exponential. In order to define the exponential map, we develop an appropriate notion of summability of infinite families in algeb…

Dynamic Phasor Modeling of Single-Phase Grid-Forming Converters
Wenjia Si, Chenming Liu, Steven Liu, Hongchang Li, Chenghui Zhang, Jingyang Fang
https://arxiv.org/abs/2404.11304 <…

Dynamic Phasor Modeling of Single-Phase Grid-Forming Converters
In modern power systems, grid-forming power converters (GFMCs) have emerged as an enabling technology. However, the modeling of single-phase GFMCs faces new challenges. In particular, the nonlinear orthogonal signal generation unit, crucial for power measurement, still lacks an accurate model. To overcome the challenges, this letter proposes a dynamic phasor model of single-phase GFMCs. Moreover, we linearize the proposed model and perform stability analysis, which confirm that the proposed mod…

Semialgebraicity of the convergence domain of an algebraic power series
Tobias Kaiser
https://arxiv.org/abs/2402.07524 https://arxiv.…

Semialgebraicity of the convergence domain of an algebraic power series
Given a power series in finitely many variables that is algebraic over the corresponding polynomial ring over a subfield of the reals, we show that its convergence domain is semialgebraic over the real closure of the subfield. This gives in particular that the convergence radius of a univariate Puiseux series that is algebraic in the above sense belongs to the real closure or is infinity.

This https://arxiv.org/abs/2312.13338 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

An analytic description of substructure-induced gravitational perturbations in stellar systems
Perturbations to stellar systems can reflect the gravitational influence of dark matter substructures. On scales much smaller than the size of a stellar system, we point out analytic connections between the stellar and dark matter distributions. In particular, the density and velocity power spectra of the stars are proportional to the density power spectrum of the perturbing dark matter, scaled by $k^{-4}$. This relationship allows easy evaluation of the suitability of a stellar system for dete…

Low-Regularity Solutions of the Nonlinear Schr\"odinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, T\"urker Ozsar{\i}
https://arxiv.org/abs/2403.15350

Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with Sobolev initial data and Dirichlet boundary data in appropriate Bourgain-type spaces. As both of the spatial variables are restricted to the half-line, a different approach is needed than the one previously used for the well-posedness of other initial-boundary value problems. In particular, now the solution of the forc…

Probing the intergalactic medium during the Epoch of Reionization using 21-cm signal power spectra
Raghunath Ghara, Abinash Kumar Shaw, Saleem Zaroubi, Benedetta Ciardi, Garrelt Mellema, L\'eon V. E. Koopmans, Anshuman Acharya, Madhurima Choudhury, Sambit K. Giri, Ilian T. Iliev, Qing-Bo Ma, Florent Mertens
https://arxiv.org…

Probing the intergalactic medium during the Epoch of Reionization using 21-cm signal power spectra
The redshifted 21-cm signal from the epoch of reionization (EoR) directly probes the ionization and thermal states of the intergalactic medium during that period. In particular, the distribution of the ionized regions around the radiating sources during EoR introduces scale-dependent features in the spherically-averaged EoR 21-cm signal power spectrum. The goal is to study these scale-dependent features at different stages of reionization using numerical simulations and build a source model-ind…

Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
Eva-Maria Hekkelman, Edward McDonald, Teun D. H. van Nuland
https://arxiv.org/abs/2404.16338

Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions
We push the definition of multiple operator integrals (MOIs) into the realm of unbounded operators, using the pseudodifferential calculus from the works of Connes and Moscovici, Higson, and Guillemin. This in particular provides a natural language for operator integrals in noncommutative geometry. For this purpose, we develop a functional calculus for these pseudodifferential operators. To illustrate the power of this framework, we provide a pertubative expansion of the spectral action for regu…

Simple tunable phase-locked lasers for quantum technologies
Nicola Agnew, David Lowit, Aidan S. Arnold
https://arxiv.org/abs/2404.16806 https://arxiv.org/pdf/2404.16806
arXiv:2404.16806v1 Announce Type: new
Abstract: In a wide range of quantum technology applications, ranging from atomic clocks to the creation of ultracold or quantum degenerate samples for atom interferometry, optimal laser sources are critical. In particular, two phase-locked laser sources with a precise difference frequency are needed for efficient coherent population trapping (CPT) clocks, gray molasses laser cooling, or driving Raman transitions. Here we show how a simple cost-effective laser diode can selectively amplify only one sideband of a fiber-electrooptically-modulated seed laser to produce moderate-power phase-locked light with sub-Hz relative linewidth and tunable difference frequencies up to $\approx 15\,$GHz. The architecture is readily scalable to multiple phase-locked lasers and could conceivably be used for future on-chip compact phase-locked laser systems for quantum technologies.

Longitudinal phase space diagnostics with a non-movable corrugated passive wakefield streaker
Philipp Dijkstal, Weilun Qin, Sergey Tomin
https://arxiv.org/abs/2402.11252

Longitudinal phase space diagnostics with a non-movable corrugated passive wakefield streaker
Time-resolved diagnostics at Free-Electron Laser (FEL) facilities, in particular electron beam longitudinal phase space (LPS) and FEL power profile measurements, provide information highly valuable for users, machine development studies, and beam setup. We investigate the slice energy resolution of passive streaker setups, in particular the effect of an energy chirp on the measured slice energy spread. Downstream of the hard X-ray SASE2 beamline at the European XFEL, these measurements are enab…

A Data-Driven Approach for Mitigating Dark Current Noise and Bad Pixels in Complementary Metal Oxide Semiconductor Cameras for Space-based Telescopes
Peng Jia, Chao Lv, Yushan Li, Yongyang Sun, Shu Niu, Zhuoxiao Wang
https://arxiv.org/abs/2403.10206

A Data-Driven Approach for Mitigating Dark Current Noise and Bad Pixels in Complementary Metal Oxide Semiconductor Cameras for Space-based Telescopes
In recent years, there has been a gradual increase in the performance of Complementary Metal Oxide Semiconductor (CMOS) cameras. These cameras have gained popularity as a viable alternative to charge-coupled device (CCD) cameras in a wide range of applications. One particular application is the CMOS camera installed in small space telescopes. However, the limited power and spatial resources available on satellites present challenges in maintaining ideal observation conditions, including tempera…

This https://arxiv.org/abs/2402.06142 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Developing a Theoretical Model for the Resummation of Infrared Effects in the Post-Reconstruction Power Spectrum (youtu.be/u1-xx3_4xCg)
Since galaxy distribution reconstruction effectively reduces non-Gaussian terms in the power spectrum covariance matrix, it has attracted interest not only for Baryon Acoustic Oscillation (BAO) signals but also for various cosmological signal analyses. To this end, this paper presents a novel theoretical model that addresses infrared (IR) effects in the post-reconstruction galaxy power spectrum, including 1-loop corrections. In particular, we discuss the importance of incorporating non-perturba…

This https://arxiv.org/abs/2206.08682 has been replaced.
link: https://scholar.google.com/scholar?q=a

Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials
We prove a spectral inequality (a specific type of uncertainty relation) for Schrödinger operators with confinement potentials, in particular of Shubin-type. The sensor sets are allowed to decay exponentially, where the precise allowed decay rate depends on the potential. The proof uses an interpolation inequality derived by Carleman estimates, quantitative weighted $L^2$-estimates and an $H^1$-concentration estimate, all of them for functions in a spectral subspace of the operator.

This https://arxiv.org/abs/2312.13338 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

An analytic description of substructure-induced gravitational perturbations in stellar systems
Perturbations to stellar systems can reflect the gravitational influence of dark matter substructures. On scales much smaller than the size of a stellar system, we point out analytic connections between the stellar and dark matter distributions. In particular, the density and velocity power spectra of the stars are proportional to the density power spectrum of the perturbing dark matter, scaled by $k^{-4}$. This relationship allows easy evaluation of the suitability of a stellar system for dete…

This https://arxiv.org/abs/2202.04417 has been replaced.
link: https://scholar.google.com/scholar?q=a

On integral bases and monogenity of pure octic number fields with non-square free parameters
In all available papers, on power integral bases of pure octic number fields $K$, generated by a root $α$ of a monic irreducible polynomial $f(x)=x^8-m\in\mathbf Z[x]$, it was assumed that $m\neq \pm 1$ is square free. In this paper, we investigate the monogenity of any pure octic number field, without the condition that $m$ is square free. We start by calculating an integral basis of $\mathbf Z_K$, the ring of integers of $K$. In particular, we characterize when $\mathbf Z_K=\mathbf Z[α]$. W…

Higher Derivative Muffin Tin Orbitals (HDMTO) and Higher Derivative Koringa Khon and Rostoker (HDKKR) methods
Garry Goldstein
https://arxiv.org/abs/2403.12846

Higher Derivative Muffin Tin Orbitals (HDMTO) and Higher Derivative Koringa Khon and Rostoker (HDKKR) methods
In this work we introduce a Linearized version of the Koringa Khon and Rostoker method (LKKR) and show it to be equivalent to the Linearized Muffin Tin Orbitals method (LMTO). We then present higher derivative versions of both methods, e.g. HDKKR and HDMTO and show them to be partially distinct (not equivalent). In particular HDKKR basis set does not have an equivalent ground state for the Khon Sham (KS) Hamiltonian as the HDKKR basis set and has greater variational power than the HDMTO one. Be…

This https://arxiv.org/abs/2308.06997 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Intermittency in the not-so-smooth elastic turbulence
Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic turbulence, though a low $\mbox{Re}$ phenomenon, has more in common with classical, Newtonian turbulence than previously thought. In particular, we find power-law spectra for kinetic energy $E(k) \sim k^{-4}$ and polymeric energy $E_{\rm p}(k) \sim k^{-3/2}$, in…

This https://arxiv.org/abs/2208.03886 has been replaced.
link: https://scholar.google.com/scholar?q=a

What can we know about that which we cannot even imagine?
In this essay I will consider a sequence of questions. The first questions concern the biological function of intelligence in general, and cognitive prostheses of human intelligence in particular. These will lead into questions concerning human language, perhaps the most important cognitive prosthesis humanity has ever developed. While it is traditional to rhapsodize about the cognitive power encapsulated in human language, I will emphasize how horribly limited human language is - and therefore…

VC Theory for Inventory Policies
Yaqi Xie, Will Ma, Linwei Xin
https://arxiv.org/abs/2404.11509 https://arxiv.org/pdf/2404.11509

VC Theory for Inventory Policies
Advances in computational power and AI have increased interest in reinforcement learning approaches to inventory management. This paper provides a theoretical foundation for these approaches and investigates the benefits of restricting to policy structures that are well-established by decades of inventory theory. In particular, we prove generalization guarantees for learning several well-known classes of inventory policies, including base-stock and (s, S) policies, by leveraging the celebrated …

Low-power SNN-based audio source localisation using a Hilbert Transform spike encoding scheme
Saeid Haghighatshoar, Dylan R Muir
https://arxiv.org/abs/2402.11748

Low-power SNN-based audio source localisation using a Hilbert Transform spike encoding scheme
Sound source localisation is used in many consumer electronics devices, to help isolate audio from individual speakers and to reject noise. Localization is frequently accomplished by "beamforming" algorithms, which combine microphone audio streams to improve received signal power from particular incident source directions. Beamforming algorithms generally use knowledge of the frequency components of the audio source, along with the known microphone array geometry, to analytically phase-shift mi…

Numerical simulation of resistance furnaces by using distributed and lumped models
A. Berm\'udez, D. G\'omez, D. Gonz\'alez-Pe\~nas
https://arxiv.org/abs/2402.18232

Numerical simulation of resistance furnaces by using distributed and lumped models
This work proposes a methodology combining distributed and lumped models to simulate the current distribution in an indirect heat resistance furnace and, in particular, to compute the current to be supplied in order to obtain a desired power. The distributed model is a time-harmonic eddy current problem which has been numerically solved by using a finite element method. The lumped model is based on the computation of a reduced impedance associated to an equivalent circuit model. The effectivene…

This https://arxiv.org/abs/2311.14553 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Analyzing Cross-Phase Effects of Reactive Power Intervention on Distribution Voltage Control
Increasing photovoltaic (PV) penetration in the distribution system can often lead to voltage violations. Mitigation of these violations requires reactive power intervention from PV inverters. However, the unbalanced nature of the distribution system leads to mixed effects on the voltages of nearby nodes for each inverter injecting or absorbing reactive power. In particular, reactive power absorption to reduce over-voltage in one phase can exacerbate over-voltage in a different phase. In this p…

Computation Rate Maximization for Wireless Powered Edge Computing With Multi-User Cooperation
Yang Li, Xing Zhang, Bo Lei, Qianying Zhao, Min Wei, Zheyan Qu, Wenbo Wang
https://arxiv.org/abs/2402.16866

Computation Rate Maximization for Wireless Powered Edge Computing With Multi-User Cooperation
The combination of mobile edge computing (MEC) and radio frequency-based wireless power transfer (WPT) presents a promising technique for providing sustainable energy supply and computing services at the network edge. This study considers a wireless-powered mobile edge computing system that includes a hybrid access point (HAP) equipped with a computing unit and multiple Internet of Things (IoT) devices. In particular, we propose a novel muti-user cooperation scheme to improve computation perfor…

Numerical simulation of resistance furnaces by using distributed and lumped models
A. Berm\'udez, D. G\'omez, D. Gonz\'alez-Pe\~nas
https://arxiv.org/abs/2402.18232

Numerical simulation of resistance furnaces by using distributed and lumped models
This work proposes a methodology combining distributed and lumped models to simulate the current distribution in an indirect heat resistance furnace and, in particular, to compute the current to be supplied in order to obtain a desired power. The distributed model is a time-harmonic eddy current problem which has been numerically solved by using a finite element method. The lumped model is based on the computation of a reduced impedance associated to an equivalent circuit model. The effectivene…

This https://arxiv.org/abs/2308.06997 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Intermittency in the not-so-smooth elastic turbulence
Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic turbulence, though a low $\mbox{Re}$ phenomenon, has more in common with classical, Newtonian turbulence than previously thought. In particular, we find power-law spectra for kinetic energy $E(k) \sim k^{-4}$ and polymeric energy $E_{\rm p}(k) \sim k^{-3/2}$, in…

This https://arxiv.org/abs/2202.03467 has been replaced.
link: https://scholar.google.com/scholar?q=a

Canonical and Non-canonical Inflation in the light of the recent BICEP/Keck results
We discuss implications of the latest BICEP/Keck data release for inflationary models, with particular emphasis on scalar fields with non-canonical Lagrangians of the type ${\cal L} = X^α- V(ϕ)$. The observational upper bound on the tensor-to-scalar ratio, $r \leq 0.036$, implies that the whole family of monomial power law potentials $V(ϕ) \sim ϕ^p$ are now ruled out in the canonical framework at $95\%$ confidence, which includes the simplest classic inflationary potentials such as $\frac{1…

Colorful Intersections and Tverberg Partitions
Michael Gene Dobbins, Andreas F. Holmsen, Dohyeon Lee
https://arxiv.org/abs/2403.14909 https://

Colorful Intersections and Tverberg Partitions
The colorful Helly theorem and Tverberg's theorem are fundamental results in discrete geometry. We prove a theorem which interpolates between the two. In particular, we show the following for any integers $d \geq m \geq 1$ and $k$ a prime power. Suppose $F_1, F_2, \dots, F_m$ are families of convex sets in $\mathbb{R}^d$, each of size $n > (\frac{d}{m}+1)(k-1)$, such that for any choice $C_i\in F_i$ we have $\bigcap_{i=1}^mC_i\neq \emptyset$. Then, one of the families $F_i$ admits a Tverberg $k…

This https://arxiv.org/abs/2312.12994 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Multi-tracing the primordial Universe with future surveys
The fluctuations generated by Inflation are nearly Gaussian in the simplest models, but may be non-Gaussian in more complex models, potentially leading to signatures in the late Universe. In particular, local type primordial non-Gaussianity induces scale-dependent bias in tracers of the matter distribution. This non-Gaussian imprint in the tracer power spectrum survives at late times on ultra-large scales where nonlinearity is negligible. In order to combat the problem of growing cosmic varianc…

Discrete functional inequalities on lattice graphs
Shubham Gupta
https://arxiv.org/abs/2403.10270 https://arxiv.org/pdf/2403.10270

Discrete functional inequalities on lattice graphs
In this thesis, we study problems at the interface of analysis and discrete mathematics. We discuss analogues of well known Hardy-type inequalities and Rearrangement inequalities on the lattice graphs $\mathbb{Z}^d$, with a particular focus on behaviour of sharp constants and optimizers.In the first half of the thesis, we analyse Hardy inequalities on $\mathbb{Z}^d$, first for $d=1$ and then for $d \geq 3$. We prove a sharp weighted Hardy inequality on integers with power weights of the form $n…

Cosmic Inflation at the Crossroads
Jerome Martin, Christophe Ringeval, Vincent Vennin
https://arxiv.org/abs/2404.10647 https://arxiv.…

Cosmic Inflation at the Crossroads
The capability of Cosmic Inflation to explain the latest Cosmic Microwave Background and Baryonic Acoustic Oscillation data is assessed by performing Bayesian model comparison within the landscape of nearly three-hundred models of single-field slow-roll inflation. We present the first Bayesian data analysis based on the third-order slow-roll primordial power spectra. In particular, the fourth Hubble-flow function $ε_4$ remains unbounded while the third function verifies, at two-sigma, $ε_{3}\…

This https://arxiv.org/abs/2208.03886 has been replaced.
link: https://scholar.google.com/scholar?q=a

What can we know about that which we cannot even imagine?
In this essay I will consider a sequence of questions. The first questions concern the biological function of intelligence in general, and cognitive prostheses of human intelligence in particular. These will lead into questions concerning human language, perhaps the most important cognitive prosthesis humanity has ever developed. While it is traditional to rhapsodize about the cognitive power encapsulated in human language, I will emphasize how horribly limited human language is - and therefore…

This https://arxiv.org/abs/2206.08682 has been replaced.
link: https://scholar.google.com/scholar?q=a

Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials
We prove a spectral inequality (a specific type of uncertainty relation) for Schrödinger operators with confinement potentials, in particular of Shubin-type. The sensor sets are allowed to decay exponentially, where the precise allowed decay rate depends on the potential. The proof uses an interpolation inequality derived by Carleman estimates, quantitative weighted $L^2$-estimates and an $H^1$-concentration estimate, all of them for functions in a spectral subspace of the operator.

Cosmic Inflation at the Crossroads
Jerome Martin, Christophe Ringeval, Vincent Vennin
https://arxiv.org/abs/2404.10647 https://arxiv.…

Cosmic Inflation at the Crossroads
The capability of Cosmic Inflation to explain the latest Cosmic Microwave Background and Baryonic Acoustic Oscillation data is assessed by performing Bayesian model comparison within the landscape of nearly three-hundred models of single-field slow-roll inflation. We present the first Bayesian data analysis based on the third-order slow-roll primordial power spectra. In particular, the fourth Hubble-flow function $ε_4$ remains unbounded while the third function verifies, at two-sigma, $ε_{3}\…

This https://arxiv.org/abs/2303.16810 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Implications of GWTC-3 on primordial black holes from vacuum bubbles
The population of black holes inferred from the detection of gravitational waves by the LIGO-Virgo-KAGRA Collaboration has revealed interesting features in the properties of black holes in the Universe. We analyze the GWTC-3 dataset assuming the detected black holes in each event had an either astrophysical or primordial origin. In particular, we consider astrophysical black holes described by the fiducial \textsc{Power Law + Peak} distribution and primordial black holes whose mass function obe…

This https://arxiv.org/abs/2404.07272 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A comparison of effective field theory models of redshift space galaxy power spectra for DESI 2024 and future surveys
In preparation for the next generation of galaxy redshift surveys, and in particular the year-one data release from the Dark Energy Spectroscopic Instrument (DESI), we investigate the consistency of a variety of effective field theory models that describe the galaxy-galaxy power spectra in redshift space into the quasi-linear regime using 1-loop perturbation theory. These models are employed in the pipelines \texttt{velocileptors}, \texttt{PyBird}, and \texttt{Folps$ν$}. While these models hav…

This https://arxiv.org/abs/2404.07272 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A comparison of effective field theory models of redshift space galaxy power spectra for DESI 2024 and future surveys
In preparation for the next generation of galaxy redshift surveys, and in particular the year-one data release from the Dark Energy Spectroscopic Instrument (DESI), we investigate the consistency of a variety of effective field theory models that describe the galaxy-galaxy power spectra in redshift space into the quasi-linear regime using 1-loop perturbation theory. These models are employed in the pipelines \texttt{velocileptors}, \texttt{PyBird}, and \texttt{Folps$ν$}. While these models hav…

A comparison of effective field theory models of redshift space galaxy power spectra for DESI 2024 and future surveys
M. Maus, Y. Lai, H. E. Noriega, S. Ramirez-Solano, A. Aviles, S. Chen, S. Fromenteau, H. Gil-Mar\'in, C. Howlett, M. Vargas-Maga\~na, M. White, P. Zarrouk, J. Aguilar, S. Ahlen, O. Alves, S. Brieden, D. Brooks, E. Burtin, T. Claybaugh, S. Cole, K. Dawson, M. Icaza-Lizaola, A. de la Macorra, A. de Mattia, P. Doel, S. Ferraro, N. Findlay, J. E. Forero-Romero, E. Gazta…

A comparison of effective field theory models of redshift space galaxy power spectra for DESI 2024 and future surveys
In preparation for the next generation of galaxy redshift surveys, and in particular the year-one data release from the Dark Energy Spectroscopic Instrument (DESI), we investigate the consistency of a variety of effective field theory models that describe the galaxy-galaxy power spectra in redshift space into the quasi-linear regime using 1-loop perturbation theory. These models are employed in the pipelines \texttt{velocileptors}, \texttt{PyBird}, and \texttt{Folps$ν$}. While these models hav…

Developing a Theoretical Model for the Resummation of Infrared Effects in the Post-Reconstruction Power Spectrum
Naonori Sugiyama
https://arxiv.org/abs/2402.06142

Developing a Theoretical Model for the Resummation of Infrared Effects in the Post-Reconstruction Power Spectrum
Since galaxy distribution reconstruction effectively reduces non-Gaussian terms in the power spectrum covariance matrix, it has attracted interest not only for Baryon Acoustic Oscillation (BAO) signals but also for various cosmological signal analyses. To this end, this paper presents a novel theoretical model that addresses infrared (IR) effects in the post-reconstruction galaxy power spectrum, including 1-loop corrections. In particular, we discuss the importance of incorporating non-perturba…

$M$-ary partition polynomials
B{\l}a\.zej \.Zmija
https://arxiv.org/abs/2403.07477 https://arxiv.org/pdf/2403.07477

$M$-ary partition polynomials
Let $M=(m_{i})_{i=0}^{\infty}$ be a sequence of integers such that $m_{0}=1$ and $m_{i}\geq 2$ for $i\geq 1$. In this paper we study $M$-ary partition polynomials $(p_{M}(n,t))_{n=0}^{\infty}$ defined as the coefficient in the following power series expansion: \begin{align*} \prod_{i=0}^{\infty}\frac{1}{1-tq^{M_{i}}} = \sum_{n=0}^{\infty} p_{M}(n,t)q^{n}, \end{align*} where $M_{i}=\prod_{j=0}^{i}m_{j}$. In particular, we provide a detailed description of their rational roots and show, that all …