Tootfinder

Now they seek to bring their poly-rhythmic jams, strange clothing and liberated masculinity in to your living room

existence of poly (polyhedral) relationships implies the existence of brep (boundary representation) relationships

US citizen arrested during Ice raid in what family describes as ‘kidnapping’;
Andrea Velez, 32, a graduate of Cal Poly Pomona, had just been dropped off at work by her mother and sister
https://www.theguardian.com/us-news/2025/jun/26/immigration-ice-raid…

Printable Nanocomposites with Superparamagnetic Maghemite ($\gamma$-Fe$_2$O$_3$) Particles for Microinductor-core Applications
Mathias Zambach, Miriam Var\'on, Thomas Veile, Bima N. Sanusi, Matti Knaapila, Anders M. J{\o}rgensen, L\'aszl\'o Alm\'asy, Christer Johansson, Ziwei Ouyang, M. Beleggia, Cathrine Frandsen
https://a…

Printable Nanocomposites with Superparamagnetic Maghemite ($γ$-Fe$_2$O$_3$) Particles for Microinductor-core Applications
We here present printable and castable magnetic nanocomposites containing superparamagnetic 11$\pm$3 nm $γ$-Fe$_2$O$_3$ particles in an insulating poly-vinyl alcohol polymer matrix. The nanocomposites feature well-dispersed particles with volume fractions between 10 and 45 \%, as confirmed by small-angle neutron scattering. The magnetic volume susceptibility is as high as 17, together with negligible hysteresis at low frequency, and constant AC-response up to the high-kHz range. Measured hyste…

Landau-type theorems for certain bounded poly-analytic and reduced poly-analytic functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal
https://arxiv.org/abs/2508.17020 https://

Landau-type theorems for certain bounded poly-analytic and reduced poly-analytic functions
The main aim of this paper is to establish several Landau-type theorems for certain bounded poly-analytic functions and reduced poly-analytic functions that generalize some previously established results.

from my link log —
Creating high quality electronics schematics.
https://blog.poly.nomial.co.uk/2025-08-10-creating-high-quality-electronics-schematics.html
saved 2025-08-10

🇺🇦 #NowPlaying on KEXP's #AfternoonShow
Poly-Math:
🎵 Velociter
#PolyMath
https://wearepolymath.bandcamp.com/track/velociter-2
https://open.spotify.com/track/5eKyMI8hxT0dd8T7451wJa

Oh #NYTSpellingBee, wasn’t it just yesterday that your paper was totally into trend pieces about poly relationships among the Park Slope boho set?

Product-Congruence Games: A Unified Impartial-Game Framework for RSA ($\phi$-MuM) and AES (poly-MuM)
Satyam Tyagi
https://arxiv.org/abs/2507.20087 https://…

Product-Congruence Games: A Unified Impartial-Game Framework for RSA ($ϕ$-MuM) and AES (poly-MuM)
RSA exponent reduction and AES S-box inversion share a hidden commonality: both are governed by the same impartial combinatorial principle, which we call a Product-Congruence Game (PCG). A Product-Congruence Game tracks play via the modular or finite-field product of heap values, providing a single invariant that unifies the algebraic cores of these two ubiquitous symmetric and asymmetric cryptosystems. We instantiate this framework with two companion games. First, $ϕ$-MuM, in which a left-ass…

Faster exact learning of k-term DNFs with membership and equivalence queries
Josh Alman, Shivam Nadimpalli, Shyamal Patel, Rocco Servedio
https://arxiv.org/abs/2507.20336 https:…

Faster exact learning of k-term DNFs with membership and equivalence queries
In 1992 Blum and Rudich [BR92] gave an algorithm that uses membership and equivalence queries to learn $k$-term DNF formulas over $\{0,1\}^n$ in time $\textsf{poly}(n,2^k)$, improving on the naive $O(n^k)$ running time that can be achieved without membership queries [Val84]. Since then, many alternative algorithms [Bsh95, Kus97, Bsh97, BBB+00] have been given which also achieve runtime $\textsf{poly}(n,2^k)$. We give an algorithm that uses membership and equivalence queries to learn $k$-term …

Sequence-Defined Phase Behavior of Poly(N-Isopropylacrylamide-co-Acrylamide) in Water
Sandeep Parma, R. Nagaranajan, Tarak K Patra
https://arxiv.org/abs/2508.16591 https://

Sequence-Defined Phase Behavior of Poly(N-Isopropylacrylamide-co-Acrylamide) in Water
The precise arrangement of different chemical moieties in a polymer determines its thermophysical properties. How the sequence of moieties impacts the properties of a polymer is an outstanding problem in polymer science. Herein, we address this problem for the thermoresponsive property of poly(N-isopropylacrylamide-co-acrylamide) in water using all-atom molecular dynamics (MD) simulations. Eight distinct copolymers, each with a different arrangement of NIPAM(N-isopropylacrylamide) and AM (acryl…

#Requiescat For Costin Miereanu. https://miereanu.bandcamp.com/album/poly-art-recordings-1976-1982

Hurwitz--Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers and Polynomials with Parameters $(\alpha,a)$
Noel B. Lacpao, Roberto B. Corcino
https://arxiv.org/abs/2508.06766

Hurwitz--Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers and Polynomials with Parameters $(α,a)$
This study introduces $(α,a)$-parameterized Hurwitz-Lerch type poly-Bernoulli and poly-Cauchy numbers and polynomials, extending classical sequences through the Hurwitz-Lerch zeta function. We derive generating functions, recurrences, and explicit formulas, revealing deeper structures and connections with zeta functions and polylogarithms. The results enrich existing theory and open new directions in analytic number theory and combinatorics.

Fourier Fingerprints of Ansatzes in Quantum Machine Learning
Melvin Strobl, M. Emre Sahin, Lucas van der Horst, Eileen Kuehn, Achim Streit, Ben Jaderberg
https://arxiv.org/abs/2508.20868

Fourier Fingerprints of Ansatzes in Quantum Machine Learning
Typical schemes to encode classical data in variational quantum machine learning (QML) lead to quantum Fourier models with $\mathcal{O}(\exp(n))$ Fourier basis functions in the number of qubits. Despite this, in order for the model to be efficiently trainable, the number of parameters must scale as $\mathcal{O}(\mathrm{poly}(n))$. This imbalance implies the existence of correlations between the Fourier modes, which depend on the structure of the circuit. In this work, we demonstrate that this p…

the existence of poly relationships implies the existence of metal, glass, and implant relationships as well

California high school girls volleyball team forfeits against opponent with trans athlete (Jackson Thompson/New York Post)
https://nypost.com/2025/08/16/sports/california-riverside-poly-high-school-forfeits-girls-volleyball-match-against-jurupa-valley-with-transgender-ab-hernandez/
http://www.memeorandum.com/250816/p74#a250816p74

Asymptotic and cohomological dimension of surface braid groups and poly-surface groups
Porfirio L. Le\'on \'Alvarez, Israel Morales
https://arxiv.org/abs/2506.10706

Asymptotic and cohomological dimension of surface braid groups and poly-surface groups
In this paper we compute the asymptotic dimension of all surface braid groups, including those associated to non-orientable and infinite-type surfaces, as well as for torsion-free surface groups that are poly-finitely generated. Moreover, we show that in these two classes of groups, the virtual cohomological dimension and the asymptotic dimension coincide. For poly-finitely generated surface groups and braid groups of finite-type surfaces, these results are based on showing that they are virtua…

🇺🇦 #NowPlaying on KEXP's #Continent
Orchestre Poly-Rythmo De Cotonou:
🎵 Dis Moi La Verité
#OrchestrePolyRythmoDeCotonou
https://analogafrica.bandcamp.com/track/dis-moi-la-verit
https://open.spotify.com/track/2zZXpHExegoSSAgMls0ahp

Dear IC designers using poly for local interconnect between adjacent standard cells: could you please not? It makes standard cells more annoying to pick out since things don't all look the same and not all poly is part of a cell.
Signed, a cranky reverse engineer

Deep estimates for higher eigenvalues of the poly-Laplacian
Zhengchao Ji, Hongwei Xu
https://arxiv.org/abs/2508.04069 https://arxiv.org/pdf/2508.04069

Deep estimates for higher eigenvalues of the poly-Laplacian
We investigate the lower bound for higher eigenvalues $λ_i$ of the poly-Laplace operator on a bounded domain and improve the famous Li-Yau inequality and its related results. Firstly, we consider the low dimensional cases for the Pólya conjecture, the clamped plate problem and the eigenvalue problem of the poly-Laplacian and deliver a series of deep eigenvalue inequalities for these problems respectively. Secondly, we establish a sharp lower bound for the eigenvalues of the poly-Laplacia in a…

Optimal Cox regression under federated differential privacy: coefficients and cumulative hazards
Elly K. H. Hung, Yi Yu
https://arxiv.org/abs/2508.19640 https://

Optimal Cox regression under federated differential privacy: coefficients and cumulative hazards
We study two foundational problems in distributed survival analysis: estimating Cox regression coefficients and cumulative hazard functions, under federated differential privacy constraints, allowing for heterogeneous per-sever sample sizes and privacy budgets. To quantify the fundamental cost of privacy, we derive minimax lower bounds along with matching (up to poly-logarithmic factors) upper bounds. In particular, to estimate the cumulative hazard function, we design a private tree-based algo…

Weighted Matching in a Poly-Streaming Model
Ahammed Ullah, S. M. Ferdous, Alex Pothen
https://arxiv.org/abs/2507.14114 https://arxiv.…

Weighted Matching in a Poly-Streaming Model
We introduce the poly-streaming model, a generalization of streaming models of computation in which $k$ processors process $k$ data streams containing a total of $N$ items. The algorithm is allowed $O\left(f(k)\cdot M_1\right)$ space, where $M_1$ is either $o\left(N\right)$ or the space bound for a sequential streaming algorithm. Processors may communicate as needed. Algorithms are assessed by the number of passes, per-item processing time, total runtime, space usage, communication cost, and so…

'Forever chemicals' detected in 65% of sampled private wells in Pennsylvania https://phys.org/news/2025-06-chemicals-sampled-private-wells-pennsylvania.html
PFAS Found in 65% of Private Wells Sampled in Pennsylvania

'Forever chemicals' detected in 65% of sampled private wells in Pennsylvania
In Pennsylvania, 3.5 million people are served by private well systems, according to Penn State Extension. To better understand potential contamination of the groundwater feeding these systems, a team of researchers from Penn State conducted a novel three-year citizen science study of per- and poly-fluoroalkyl substances (PFAS)—often referred to as forever chemicals—in 167 private wells across Pennsylvania.

Asymmetric Effects Underlying Dynamic Heterogeneity in Miscible Blends of Poly(methyl methacrylate) with Poly(ethylene oxide)
Shannon Zhang, Michael A. Webb
https://arxiv.org/abs/2506.12143

Asymmetric Effects Underlying Dynamic Heterogeneity in Miscible Blends of Poly(methyl methacrylate) with Poly(ethylene oxide)
The emergence of spatially variable local dynamics, or dynamic heterogeneity, is common in multicomponent polymer systems. Such heterogeneity is understood to arise from differences between the intrinsic dynamical fluctuations associated with one component versus another. However, the nature of the dynamic coupling between these components and how it depends on composition, temperature, and environmental fluctuations is not fully understood. Here, we use molecular dynamics simulations to charac…

Challenges and opportunities in piezoelectric polymers: Effect of oriented amorphous fraction in ferroelectric semicrystalline polymers
Guanchun Rui, Elshad Allahyarov, Zhiwen Zhu, Yanfei Huang, Thumawadee Wongwirat, Qin Zou, Philip L. Taylor, Lei Zhu
https://arxiv.org/abs/2506.18722

Challenges and opportunities in piezoelectric polymers: Effect of oriented amorphous fraction in ferroelectric semicrystalline polymers
Despite extensive research on piezoelectric polymers since the discovery of piezoelectric poly(vinylidene fluoride) (PVDF) in 1969, the fundamental physics of polymer piezoelectricity has remained elusive. Based on the classic principle of piezoelectricity, polymer piezoelectricity should originate from the polar crystalline phase. Surprisingly, the crystal contribution to the piezoelectric strain coefficient d31 is determined to be less than 10%, primarily owing to the difficulty in changing t…

Voltage-Induced Oxidation for Enhanced Purity and Reproducibility of Quantum Emission in Monolayer 2D Materials
Sung-Joon Leea, Hsun-Jen Chuang, Kathleen M. McCreary, Mehmet A. Noyan, Berend T. Jonker
https://arxiv.org/abs/2506.19659

Voltage-Induced Oxidation for Enhanced Purity and Reproducibility of Quantum Emission in Monolayer 2D Materials
We report a voltage-induced oxidation technique using conductive atomic force microscopy to enhance the single-photon purity and reproducibility of quantum emitters in monolayer tung-sten diselenide (WSe2). By applying a controlled electric field across a monolayer WSe2/poly(vinylidene fluoride-co-trifluoroethylene) (P(VDF-TrFE)) on a silicon substrate, localized oxidation is induced around nanoindented emitter sites in the WSe2. This treatment selectively suppresses defect-bound exciton emissi…

Implementation of Wildberger's Polyseries
Mahdi-Tahar Brahimi
https://arxiv.org/abs/2507.04231 https://arxiv.org/pdf/2507.04231…

Implementation of Wildberger's Polyseries
We study the computational framework of polyseries and poly-numbers introduced by Wildberger and Rubine in [2]. After reviewing Peano arithmetic, computable naturals, and non-standard models, we define the core data and procedure operations on polyseries. We then apply Catalan number expansions to solve quadratic congruences and derive explicit truncated series formulas in a finite field $\mathbb{Z}_p$. Our main result gives a closed form poly series solution in terms of Catalan numbers.

from my link log —
Simulating time with square-root space.
https://arxiv.org/abs/2502.17779
saved 2025-06-08 https://dotat.at/:/L…

Simulating Time With Square-Root Space
We show that for all functions $t(n) \geq n$, every multitape Turing machine running in time $t$ can be simulated in space only $O(\sqrt{t \log t})$. This is a substantial improvement over Hopcroft, Paul, and Valiant's simulation of time $t$ in $O(t/\log t)$ space from 50 years ago [FOCS 1975, JACM 1977]. Among other results, our simulation implies that bounded fan-in circuits of size $s$ can be evaluated on any input in only $\sqrt{s} \cdot poly(\log s)$ space, and that there are explicit prob…

Ms. Marvel is #1. 🤷
Sure, I liked the show... but is it better than Loki, Wandavision, Moon Knight, Hawkeye... even She-Hulk?
No. Just... no. I gotta wonder if this is an #MCU fan troll.
✅ Every #Marvel TV show in the Cinematic Universe, ranked | Polygon

Every Marvel Cinematic Universe TV show, ranked
From Ironheart to Loki, from WandaVision to Jessica Jones, we rank the best MCU TV shows and the worst, and cover which Marvel shows are canon.

Fine-Tuning Hydrophilic-Hydrophobic Balance in Stimuli-Responsive PEGPNIPAM Micelles for Controlled Drug Delivery
Ghazal Jamirad, Mahdi Seif, Abbas Montazeri
https://arxiv.org/abs/2508.13206

Fine-Tuning Hydrophilic-Hydrophobic Balance in Stimuli-Responsive PEGPNIPAM Micelles for Controlled Drug Delivery
Temperature-responsive polymeric micelles have great potential in drug delivery, enhancing therapeutic efficacy while minimizing systemic toxicity. This study investigates the self-assembly of poly(ethylene glycol)-poly(N-isopropylacrylamide) (PEG-PNIPAM) block copolymers as nanocarriers for Doxorubicin (DOX) using coarse-grained molecular dynamics (CG-MD) simulations. We systematically examined the effects of polymer chain length and hydrophilic/hydrophobic balance on micelle formation, stabil…

On Algorithmic Robustness of Corrupted Markov Chains
Jason Gaitonde, Elchanan Mossel
https://arxiv.org/abs/2507.15176 https://arxiv.o…

On Algorithmic Robustness of Corrupted Markov Chains
We study the algorithmic robustness of general finite Markov chains in terms of their stationary distributions to general, adversarial corruptions of the transition matrix. We show that for Markov chains admitting a spectral gap, variants of the \emph{PageRank} chain are robust in the sense that, given an \emph{arbitrary} corruption of the edges emanating from an $ε$-measure of the nodes, the PageRank distribution of the corrupted chain will be $\mathsf{poly}(\varepsilon)$ close in total varia…

Reversible Pebble Transducers
Luc Dartois, Paul Gastin, L. Germerie Guizouarn, Shankaranarayanan Krishna
https://arxiv.org/abs/2506.11334 https://

Reversible Pebble Transducers
Deterministic two-way transducers with pebbles (aka pebble transducers) capture the class of polyregular functions, which extend the string-to-string regular functions allowing polynomial growth instead of linear growth. One of the most fundamental operations on functions is composition, and (poly)regular functions can be realized as a composition of several simpler functions. In general, composition of deterministic two-way transducers incur a doubly exponential blow-up in the size of the inpu…

Recovering asymptotics of potentials from the scattering of relativistic Schr\"odinger operators
Gunther Uhlmann, Yiran Wang
https://arxiv.org/abs/2508.12463 https://

Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators
We study the stationary scattering for $(-Δ)^{\frac 12} + V(x)$ on $\mathbb{R}^3$. For poly-homogeneous potentials decaying at infinity, we prove that the asymptotics of the potential can be recovered from the scattering matrix at a fixed energy.

ImmerseGen: Agent-Guided Immersive World Generation with Alpha-Textured Proxies
Jinyan Yuan, Bangbang Yang, Keke Wang, Panwang Pan, Lin Ma, Xuehai Zhang, Xiao Liu, Zhaopeng Cui, Yuewen Ma
https://arxiv.org/abs/2506.14315

ImmerseGen: Agent-Guided Immersive World Generation with Alpha-Textured Proxies
Automatic creation of 3D scenes for immersive VR presence has been a significant research focus for decades. However, existing methods often rely on either high-poly mesh modeling with post-hoc simplification or massive 3D Gaussians, resulting in a complex pipeline or limited visual realism. In this paper, we demonstrate that such exhaustive modeling is unnecessary for achieving compelling immersive experience. We introduce ImmerseGen, a novel agent-guided framework for compact and photorealist…

Unlocking the hybrid piezo and pyroelectric nanogenerators performance by SiO2 nanowires confinement in poly(vinylidene fluoride)
Juan Delgado-Alvarez, Hari Krishna Mishra, Francisco J. Aparicio, Xabier Garcia-Casas, Angel Barranco, Juan R. Sanchez-Valencia, Victor Lopez-Flores, Ana Borras
https://arxiv.org/abs/2506.01580…

Unlocking the hybrid piezo and pyroelectric nanogenerators performance by SiO2 nanowires confinement in poly(vinylidene fluoride)
We report on the development of a novel flexible piezo/pyro-electric nanogenerator (PPNG) that combines a uniform film of poly(vinylidene fluoride) (PVDF) infiltrated over vertically supported SiO2 nanowires (NWs) to enhance both piezoelectric and pyroelectric energy harvesting capabilities. The synthetic procedure involves a low-temperature multi-step approach, including the soft-template formation of SiO2 NWs on a flexible substrate, followed by the infiltration of a PVDF thin film (TF). The …

Is it easy to regularize a hypergraph with easy links?
Lior Gishboliner, Asaf Shapira, Yuval Wigderson
https://arxiv.org/abs/2506.15582 https://

Is it easy to regularize a hypergraph with easy links?
A partition of a (hyper)graph is $\varepsilon$-homogenous if the edge densities between almost all clusters are either at most $\varepsilon$ or at least $1-\varepsilon$. Suppose a $3$-graph has the property that the link of every vertex has an $\varepsilon$-homogenous partition of size $\text{poly}(1/\varepsilon)$. Does this guarantee that the $3$-graph also has a small homogenous partition? Terry and Wolf proved that such a $3$-graph has an $\varepsilon$-homogenous partition of size given by a…

Interplay of distinct modes of charge regulation on poly-acid ionization and conformation
Souradeep Ghosh, Aritra Chowdhury, Dylan T. Tomares, Benjamin Schuler, Arindam Kundagrami, Rohit V. Pappu
https://arxiv.org/abs/2508.07055

Interplay of distinct modes of charge regulation on poly-acid ionization and conformation
We adapt the Edwards-Muthukumar theoretical framework for a single polymer chain to investigate the interplay between proton binding and counterion condensation for poly-acids. We find that changes to pH enable non-monotonic transitions between anti- and conventional polyelectrolyte behaviors. In the former, the net charge and the overall dimensions increase with increasing salt concentration, while the converse is true for conventional polyelectrolytes. The polymeric nature and local solvent p…

Approximating fixed size quantum correlations in polynomial time
Julius A. Zeiss, Gereon Ko{\ss}mann, Omar Fawzi, Mario Berta
https://arxiv.org/abs/2507.12302

Approximating fixed size quantum correlations in polynomial time
We show that $\varepsilon$-additive approximations of the optimal value of fixed-size two-player free games with fixed-dimensional entanglement assistance can be computed in time $\mathrm{poly}(1/\varepsilon)$. This stands in contrast to previous analytic approaches, which focused on scaling with the number of questions and answers, but yielded only strict $\mathrm{exp}(1/\varepsilon)$ guarantees. Our main result is based on novel Bose-symmetric quantum de Finetti theorems tailored for constrai…

Jahn-Teller-like Distortion in a One-dimensional {\pi}-Conjugated Polymer
Ziyi Wang, Boyu Qie, Weichen Tang, Jingwei Jiang, Fujia Liu, Peter H. Jacobse, Jiaming Lu, Xinheng Li, Steven G. Louie, Felix R. Fischer, Michael F. Crommie
https://arxiv.org/abs/2508.14416

Jahn-Teller-like Distortion in a One-dimensional π-Conjugated Polymer
Structurally distorting low-dimensional π-conjugated systems can profoundly influence their electronic properties, but controlling such behavior in extended-width systems remains challenging. Here we demonstrate that a one-dimensional conjugated polymer, poly-(difluorenoheptalene-ethynylene) (PDFHE), undergoes a pronounced out-of-plane backbone distortion, equivalent to a spontaneous symmetry breaking (SSB) of its mirror symmetry. We synthesized PDFHE on noble metal surfaces and characterized …

Parallel Batch-Dynamic Coreness Decomposition with Worst-Case Guarantees
Mohsen Ghaffari, Jaehyun Koo
https://arxiv.org/abs/2507.06334 https://

Parallel Batch-Dynamic Coreness Decomposition with Worst-Case Guarantees
We present the first parallel batch-dynamic algorithm for approximating coreness decomposition with worst-case update times. Given any batch of edge insertions and deletions, our algorithm processes all these updates in $ \text{poly}(\log n)$ depth, using a worst-case work bound of $b\cdot \text{poly}(\log n)$ where $b$ denotes the batch size. This means the batch gets processed in $\tilde{O}(b/p)$ time, given $p$ processors, which is optimal up to logarithmic factors. Previously, an algorithm …

🇺🇦 #NowPlaying on #KEXP's #Continent
T.P. Orchestre Poly-Rythmo:
🎵 Gendamou Na Wili We Gnannin
#TPOrchestrePolyRythmo
https://albarikastore.bandcamp.com/track/gendemou-na-wili-we-gnannin
https://open.spotify.com/track/0TuTXXNcj5dawwVxwN5qWP

This https://arxiv.org/abs/2412.03412 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Wavepacket and Reduced-Density Approaches for High-Dimensional Quantum Dynamics: Application to the Nonlinear Spectroscopy of Asymmetrical Light-Harvesting Building Blocks
Excitation-energy transfer (EET) and relaxation in an optically excited building block of poly(phenylene ethynylene) (PPE) dendrimers are simulated using wavepackets with the multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) method and reduced-density matrices with the hierachical equations of motion (HEOM) approach. The dynamics of the ultrafast electronic funneling between the first two excited electronic states in the asymmetrically meta-substituted PPE oligomer with two rings …

Crossing numbers of dense graphs on surfaces
Alfredo Hubard, Arnaud de Mesmay, Hugo Parlier
https://arxiv.org/abs/2506.09974 https://…

Crossing numbers of dense graphs on surfaces
In this paper, we provide upper and lower bounds on the crossing numbers of dense graphs on surfaces, which match up to constant factors. First, we prove that if $G$ is a dense enough graph with $m$ edges and $Σ$ is a surface of genus $g$, then any drawing of $G$ on $Σ$ incurs at least $Ω\left(\frac{m^2}{g} \log ^2 g\right)$ crossings. The poly-logarithmic factor in this lower bound is new even in the case of complete graphs and disproves a conjecture of Shahrokhi, Székely and Vrt'o from 19…

On the commutator scaling in Hamiltonian simulation with multi-product formulas
Kaoru Mizuta
https://arxiv.org/abs/2507.06557 https://

On the commutator scaling in Hamiltonian simulation with multi-product formulas
A multi-product formula (MPF) is a promising approach for Hamiltonian simulation efficiently both in the system size $N$ and the inverse allowable error $1/\varepsilon$ by combining Trotterization and the linear combination of unitaries (LCU). It achieves poly-logarithmic cost in $1/\varepsilon$ like LCU [G. H. Low, V. Kliuchnikov, N. Wiebe, arXiv:1907.11679 (2019)]. The efficiency in $N$ is expected to come from the commutator scaling in Trotterization, and this appears to be confirmed by the …

Light-Addressable Smart Nanostructures via Resonant Nanoheating
Victor Tabouillot, Douglas Murad, Rahul Kumar, Paula L. Lalaguna, Maryam Hajji, Affar Karimullah, Nikolaj Gadegaard, Aur\'elie Malfait, Patrice Woisel, Graeme Cooke, Malcolm Kadodwala
https://arxiv.org/abs/2508.06215

Light-Addressable Smart Nanostructures via Resonant Nanoheating
Selective spatial control of chemical reactions at the level of individual nanostructures remains a significant challenge. We introduce a light-activated system that combines plasmonic gold nanorods with a poly(N-isopropylacrylamide) monolayer to gate surface reactivity based on each rod's geometry under optical illumination. Laser excitation tuned to a rod's plasmon resonance and polarization collapses the polymer into a compact shell on that rod, blocking reactive head groups and creating a l…

The Densest SWAMP problem: subhypergraphs with arbitrary monotonic partial edge rewards
Vedangi Bengali, Nikolaj Tatti, Iiro Kumpulainen, Florian Adriaens, Nate Veldt
https://arxiv.org/abs/2506.12998

The Densest SWAMP problem: subhypergraphs with arbitrary monotonic partial edge rewards
We consider a generalization of the densest subhypergraph problem where nonnegative rewards are given for including partial hyperedges in a dense subhypergraph. Prior work addressed this problem only in cases where reward functions are convex, in which case the problem is poly-time solvable. We consider a broader setting where rewards are monotonic but otherwise arbitrary. We first prove hardness results for a wide class of non-convex rewards, then design a 1/k-approximation by projecting to th…

Optimal structure learning and conditional independence testing
Ming Gao, Yuhao Wang, Bryon Aragam
https://arxiv.org/abs/2507.05689 https://

Optimal structure learning and conditional independence testing
We establish a fundamental connection between optimal structure learning and optimal conditional independence testing by showing that the minimax optimal rate for structure learning problems is determined by the minimax rate for conditional independence testing in these problems. This is accomplished by establishing a general reduction between these two problems in the case of poly-forests, and demonstrated by deriving optimal rates for several examples, including Bernoulli, Gaussian and nonpar…

Modulation of PEDOT properties via cobalt ferrite nanoparticles: morphology, conjugation length, doping level, structure, and electrical conductivity
Gabriel Paciaroni, Mar\'ia Ana Castro, Carlos Acha, Paula Soledad Antonel
https://arxiv.org/abs/2507.07849

Modulation of PEDOT properties via cobalt ferrite nanoparticles: morphology, conjugation length, doping level, structure, and electrical conductivity
Composite materials based on Poly(3,4-ethylenedioxythiophene) (PEDOT) and CoFe$_2$O$_4$ magnetic nanoparticles (NP) were synthesized by chemical oxidative polymerization with varying monomer and surfactant (DBSA) concentrations, and were compared to PEDOT samples synthesized without NP. Electrical conductivity measurements were performed, which revealed that the composites are more conductive than the pure PEDOT samples, with this effect depending on EDOT and DBSA contents. Characterizations by…

A 3D porous MXene/PNIPAAm hydrogel composite with advanced degradation stability and control of electronic properties in air
Sitao Wang, Chen Jiao, Gerald Gerlach, Julia K\"orner
https://arxiv.org/abs/2508.11392

A 3D porous MXene/PNIPAAm hydrogel composite with advanced degradation stability and control of electronic properties in air
This study reports the fundamental investigation of a novel composite material consisting of MXene (Ti$_3$C$_2$T$_x$) and a stimulus-responsive hydrogel (Poly(N-isopropylacrylamide) - PNIPAAm). In contrast to previously reported integration of MXene and hydrogels, the material described here offers a tunable porous structure for volatile organic compound (VOC) sensing that maintains its stability and responsiveness in any kind of gaseous environment and in a dried state. Furthermore, its synthe…

Cut-Matching Games for Bipartiteness Ratio of Undirected Graphs
Tasuku Soma, Mingquan Ye, Yuichi Yoshida
https://arxiv.org/abs/2507.12847 https://

Cut-Matching Games for Bipartiteness Ratio of Undirected Graphs
We propose an $O(\log n)$-approximation algorithm for the bipartiteness ratio for undirected graphs introduced by Trevisan (SIAM Journal on Computing, vol. 41, no. 6, 2012), where $n$ is the number of vertices. Our approach extends the cut-matching game framework for sparsest cut to the bipartiteness ratio. Our algorithm requires only $\mathrm{poly}\log n$ many single-commodity undirected maximum flow computations. Therefore, with the current fastest undirected max-flow algorithms, it runs in n…

Solving Linear Programs with Differential Privacy
Alina Ene, Huy Le Nguyen, Ta Duy Nguyen, Adrian Vladu
https://arxiv.org/abs/2507.10946 https://

Solving Linear Programs with Differential Privacy
We study the problem of solving linear programs of the form $Ax\le b$, $x\ge0$ with differential privacy. For homogeneous LPs $Ax\ge0$, we give an efficient $(ε,δ)$-differentially private algorithm which with probability at least $1-β$ finds in polynomial time a solution that satisfies all but $O(\frac{d^{2}}ε\log^{2}\frac{d}{δβ}\sqrt{\log\frac{1}{ρ_{0}}})$ constraints, for problems with margin $ρ_{0}>0$. This improves the bound of $O(\frac{d^{5}}ε\log^{1.5}\frac{1}{ρ_{0}}\mathrm{poly…

Gefitinib-Induced Interface Engineering Enhances the Defect Formation Energy for Highly Efficient and Stable Perovskite Solar Cells
Xianhu Wu, Guanglei Cui, Jieyu Bi, Gaojie Xia, Zewen Zuo, Min Gu
https://arxiv.org/abs/2506.03611

Gefitinib-Induced Interface Engineering Enhances the Defect Formation Energy for Highly Efficient and Stable Perovskite Solar Cells
Poly(3,4-ethylenedioxythiophene):polystyrenesulfonate (PEDOT:PSS) has been widely used as a hole transport layer in perovskite solar cells (PSCs). However, the high interface defect density and energy level mismatch between PEDOT:PSS and perovskite can lead to significant open-circuit voltage loss. Additionally, the free PSS chains on the surface of PEDOT:PSS can absorb water molecules, promoting the degradation of perovskite at the PEDOT:PSS/perovskite interface. Here, gefitinib is used to mod…

Elastic turbulence in highly entangled polymers and wormlike micelles
Theo A. Lewy, Suzanne M. Fielding, Peter D. Olmsted, Rich R. Kerswell
https://arxiv.org/abs/2506.07146

Elastic turbulence in highly entangled polymers and wormlike micelles
We show theoretically that an initially homogeneous planar Couette flow of a concentrated polymeric fluid is linearly unstable to the growth of two-dimensional (2D) perturbations, within two widely used constitutive models: the Johnson-Segalman model and the Rolie-Poly model. We perform direct nonlinear simulations of both models in 2D to show that this instability leads to a state of elastic turbulence comprising several narrow shear bands that dynamically coalesce, split and interact. Importa…

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
G Suresh, B. Satyanarayana, C. Thirmal, Kaushal Jagarlamudi, T Komala, Jimlee Patowary, Ashutosh Kumar
https://arxiv.org/abs/2508.04662

Tailored Thermal and Mechanical Performance of Biodegradable PLA-P(VDF-TrFE) Polymer Blends
The development of polymer blends has emerged as a strategic approach for designing multifunctional materials with enhanced tailored characteristics. Current work investigates and reports for the first time, the structure-property relationships in free-standing blend films of poly(vinylidene fluoride-trifluoroethylene) (P(VDF-TrFE)) and polylactic acid (PLA), prepared to evaluate their suitability for functional applications. For this investigation, films of approximately 40 $μ$m thick were fa…

Parallel Batch-Dynamic Algorithms for Spanners, and Extensions
Mohsen Ghaffari, Jaehyun Koo
https://arxiv.org/abs/2507.06338 https://…

Parallel Batch-Dynamic Algorithms for Spanners, and Extensions
This paper presents the first parallel batch-dynamic algorithms for computing spanners and sparsifiers. Our algorithms process any batch of edge insertions and deletions in an $n$-node undirected graph, in $\text{poly}(\log n)$ depth and using amortized work near-linear in the batch size. Our concrete results are as follows: - Our base algorithm maintains a spanner with $(2k-1)$ stretch and $\tilde{O}(n^{1+1/k})$ edges, for any $k\geq 1$. - Our first extension maintains a sparse spanner wit…

Complexation of a Thermoresponsive Brush-Type Polyelectrolyte with an Oppositely Charged Surfactant: Effect of Temperature and Surfactant Concentration
Hern\'an A. Ritacco, Macos D. Fern\'andez Leyes, Zulma Quirolo, M. M. Soledad Lencina, Cecilia del Barrio, Rafael M\'arquez, Jaqueline Fern\'andez, Jhon S\'anchez Morales
https://

Complexation of a Thermoresponsive Brush-Type Polyelectrolyte with an Oppositely Charged Surfactant: Effect of Temperature and Surfactant Concentration
Responsive drug delivery vectors can be designed using oppositely charged polyelectrolyte-surfactant complexes. As a model, we created a brush-type copolymer (PECop), combining alginate and Poly(N-isopropylacrylamide) (PNIPAAm), whose side chains respond to temperature. Aggregation of PECop with the cationic surfactant dodecyltrimethylammonium bromide (DTAB) was examined versus surfactant concentration and temperature. We used surface tension, electrophoretic mobility, zeta potential, potentiom…

Going Beyond Surfaces in Diameter Approximation
Micha{\l} W{\l}odarczyk
https://arxiv.org/abs/2507.03447 https://arxiv.org/pdf/2507.0…

Going Beyond Surfaces in Diameter Approximation
Calculating the diameter of an undirected graph requires quadratic running time under the Strong Exponential Time Hypothesis and this barrier works even against any approximation better than 3/2. For planar graphs with positive edge weights, there are known $(1+\varepsilon)$-approximation algorithms with running time $poly(1/ε, \log n) \cdot n$. However, these algorithms rely on shortest path separators and this technique falls short to yield efficient algorithms beyond graphs of bounded genus…

Nanoconfinement Effects on Intermolecular Forces Observed via Dewetting
Tara (Tera), Huang, Evon S. Petek, Reika Katsumata
https://arxiv.org/abs/2506.03387

Nanoconfinement Effects on Intermolecular Forces Observed via Dewetting
Although wettability is a macroscopic manifestation of molecular-level forces, such as van der Waals (vdW) forces, the impact of nanoconfinement on material properties in reduced film thickness remains unexplored in predicting film stability. In this work, we investigate how nanoconfinement influences intermolecular interactions using a model trilayer system composed of a thick polystyrene (PS) base, a poly(methyl methacrylate) (PMMA) middle layer with tunable thickness (15-95 nm), and a 10 nm …

Numerical Linear Algebra in Linear Space
Yiping Liu, Hoai-An Nguyen, Junzhao Yang
https://arxiv.org/abs/2507.02433 https://arxiv.org/…

Numerical Linear Algebra in Linear Space
We present a randomized linear-space solver for general linear systems $\mathbf{A} \mathbf{x} = \mathbf{b}$ with $\mathbf{A} \in \mathbb{Z}^{n \times n}$ and $\mathbf{b} \in \mathbb{Z}^n$, without any assumption on the condition number of $\mathbf{A}$. For matrices whose entries are bounded by $\mathrm{poly}(n)$, the solver returns a $(1+ε)$-multiplicative entry-wise approximation to vector $\mathbf{x} \in \mathbb{Q}^{n}$ using $\widetilde{O}(n^2 \cdot \mathrm{nnz}(\mathbf{A}))$ bit operations…