Tootfinder

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
Benjamin Doyon
https://arxiv.org/abs/2506.05266 ht…

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
In many-body systems, the dynamics is governed, at large scales of space and time, by the hydrodynamic principle of projection onto the conserved densities admitted by the model. This is formalised as local relaxation of fluctuations in the ballistic macroscopic fluctuation theory, a nonlinear Boltzmann-Gibbs principle. We use it to derive a projection formula, expressing n-point connected correlation functions (cumulants) of generic observables at different space-time points, in terms of those…

A Generic Branch-and-Bound Algorithm for $\ell_0$-Penalized Problems with Supplementary Material
Cl\'ement Elvira, Th\'eo Guyard, C\'edric Herzet
https://arxiv.org/abs/2506.03974

A Generic Branch-and-Bound Algorithm for $\ell_0$-Penalized Problems with Supplementary Material
We present a generic Branch-and-Bound procedure designed to solve L0-penalized optimization problems. Existing approaches primarily focus on quadratic losses and construct relaxations using "Big-M" constraints and/or L2-norm penalties. In contrast, our method accommodates a broader class of loss functions and allows greater flexibility in relaxation design through a general penalty term, encompassing existing techniques as special cases. We establish theoretical results ensuring that all key qu…

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups
Yeansu Kim, Muthu Krishnamurthy, Freydoon Shahidi
https://arxiv.org/abs/2506.00892

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups
We establish the generic local Langlands correspondence by showing the equality of the Langlands-Shahidi $L$-functions and Artin $L$-functions in the case of even unitary similitude groups. As an application, we prove both weak and strong versions of the generic Arthur packet conjectures in the cases of even unitary similitude groups and even unitary groups. We further describe (not necessarily generic) $L$-packets for even unitary similitude groups and establish their expected properties, incl…

This https://arxiv.org/abs/2309.04540 has been replaced.
initial toot: https://mastoxiv.page/@…

Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density inhomogeneously. Our work particularly focuses on the effects of spatial boundaries, which have remained unresolved by previous analytical methods. For generic post-quench Hamiltonian, we develop a generic method to calculate the correlations by mirroring the …

Optimal T depth quantum circuits for implementing arbitrary Boolean functions
Suman Dutta, Anik Basu Bhaumik, Anupam Chattopadhyay, Subhamoy Maitra
https://arxiv.org/abs/2506.01542

Optimal T depth quantum circuits for implementing arbitrary Boolean functions
In this paper we present a generic construction to obtain an optimal T depth quantum circuit for any arbitrary $n$-input $m$-output Boolean function $f: \{0,1\}^n \rightarrow \{0,1\}^m$ having algebraic degree $k\leq n$, and it achieves an exact Toffoli (and T) depth of $\lceil \log_2 k \rceil$. This is a broader generalization of the recent result establishing the optimal Toffoli (and consequently T) depth for multi-controlled Toffoli decompositions (Dutta et al., Phys. Rev. A, 2025). We achie…

Towards Large-Scale Condensed Phase Simulations using Machine Learned Energy Functions
Eric D. Boittier, Silvan K\"aser, Markus Meuwly
https://arxiv.org/abs/2506.23272

Towards Large-Scale Condensed Phase Simulations using Machine Learned Energy Functions
Accurate, yet computationally efficient energy functions are essential for state-of-the art molecular dynamics (MD) studies of condensed phase systems. Here, a generic workflow based on a combination of machine learning-based and empirical representations of intra- and intermolecular interactions is presented. The total energy is decomposed into internal contributions, and electrostatic and van der Waals interactions between monomers. The monomer potential energy surface is described using a ne…

Counting geodesics on prime-order $k$-differentials
Juliet Aygun
https://arxiv.org/abs/2506.24084 https://arxiv.org/pdf/2506.24084

Counting geodesics on prime-order $k$-differentials
We determine weak asymptotics of counting functions on generic surfaces in a component of a stratum of $k$-differentials when $k$ is prime and genus is greater than $2$. In order to do so, we classify the $GL^+(2,\mathbb{R})$-orbit closure of holonomy covers of components and apply Eskin-Mirzakhani-Mohammadi generalized to translation surfaces. We show that the $GL^+(2,\mathbb{R})$-orbit closure of these holonomy covers is generically a component of a stratum of translation surfaces or a hypere…

Bispectrum Islands
Claudia de Rham, Sadra Jazayeri, Andrew J. Tolley
https://arxiv.org/abs/2506.19198 https://arxiv.org/pdf/2506.1919…

Bispectrum Islands
Inspired by the amplitude bootstrap program, the spirit of this work is to constrain the space of consistent inflationary correlation functions - specifically, the bispectrum of curvature perturbations - using fundamental principles such as unitarity, locality, analyticity, and symmetries. To this end, we assume a setup for inflation in which de Sitter isometries are only mildly broken by the slow roll of the inflaton field, and study the bispectrum imprinted by a generic hidden sector during i…

The asymptotic Samuel functions and applications to resolution of singularities techniques
A. Benito, A. Bravo, S. Encinas
https://arxiv.org/abs/2506.14993

The asymptotic Samuel functions and applications to resolution of singularities techniques
We use the asymptotic Samuel function to define the Samuel slope of a Noetherian local ring, and we prove that it characterizes local regular excellent rings. In addition, we introduce a second invariant that refines the Samuel slope using generic linear cuts, the refined Samuel slope. We show that both, the Samuel slope and the refined Samuel slope, are connected to invariants coming from resolution of singularities.

The Ising model and random fields of scales
Ricardo G\'omez A\'iza
https://arxiv.org/abs/2507.00071 https://arxiv.org/pdf/250…

The Ising model and random fields of scales
Random fields of scales result when the class of musical scales is thought as a set of sites, and a site can be in one of two possible states (or spins): On or Off. We present a flexible simulated annealing model that produces generic configurations arising from equilibrium states (or Gibbs measures) associated to hamiltonian energy functions defined in terms of musical interactions with parameters that can be manipulated to customize properties of the scales. The starting point is to think of …

Stealth black hole solutions in higher-order Maxwell-Einstein theories
Masato Minamitsuji
https://arxiv.org/abs/2506.11353 https://ar…

Stealth black hole solutions in higher-order Maxwell-Einstein theories
We study static and spherically symmetric black hole solutions in higher-order Maxwell-Einstein theories. We do not particularly focus on the degenerate classes of theories. For several specific choices of the coupling functions, we show that in the presence of the ordinary Maxwell kinetic term the Reissner-Nordström-(anti-)de Sitter solution in the pure Maxwell-Einstein theory can also be a solution in generic classes of higher-order Maxwell-Einstein theories, and in the absence of the ordina…

Generic orbits, normal bases, and generation degree for fields of rational invariants
Ben Blum-Smith, Harm Derksen
https://arxiv.org/abs/2506.05650 https:/…

Generic orbits, normal bases, and generation degree for fields of rational invariants
For a linear representation of a finite group in coprime characteristic, we bound the degrees of the invariant polynomials needed to generate the field of rational invariants as a field, in terms of the degrees of the polynomials needed to span the field of rational functions as a vector space over the invariant field. This provides a far-reaching generalization of a recent result of Edidin and Katz.