Tootfinder

Quasi-optimal error estimates for the approximation of stable stationary states of the elastic energy of inextensible curves
S\"oren Bartels, Bal\'azs Kov\'acs, Dominik Schneider
https://arxiv.org/abs/2509.01287

Quasi-optimal error estimates for the approximation of stable stationary states of the elastic energy of inextensible curves
We establish local existence and a quasi-optimal error estimate for piecewise cubic minimizers to the bending energy under a discretized inextensibility constraint. In previous research a discretization is used where the inextensibility constraint is only enforced at the nodes of the discretization. We show why this discretization leads to suboptimal convergence rates and we improve on it by also enforcing the constraint in the midpoints of each subinterval. We then use the inverse function the…

On the variances of spherical and hyperbolic random polytopes
Ferenc Fodor, Bal\'azs Gr\"unfelder
https://arxiv.org/abs/2508.21392 https://arxiv.o…

On the variances of spherical and hyperbolic random polytopes
We prove asymptotic upper bounds on the variances of the volume and vertex number of spherical random polytopes in spherical convex bodies, and hyperbolic random polytopes in convex bodies in hyperbolic space. We also consider a circumscribed model on the sphere.

Finding the diameter of a tree with distance queries
D\'aniel Gerbner, Andr\'as Imolay, Kartal Nagy, Bal\'azs Patk\'os, Krist\'of Z\'olomy
https://arxiv.org/abs/2509.23326

Finding the diameter of a tree with distance queries
We study the number of distance queries needed to identify certain properties of a hidden tree $T$ on $n$ vertices. A distance query consists of two vertices $x,y$, and the answer is the distance of $x$ and $y$ in $T$. We determine the number of queries an optimal adaptive algorithm needs to find two vertices of maximal distance up to an additive constant, and the number of queries needed to identify the hidden tree asymptotically. We also study the non-adaptive versions of these problems, dete…

Time-resolved protoplanetary disk physics in DQ Tau with JWST
\'A. K\'osp\'al, P. \'Abrah\'am, V. V. Akimkin, L. Chen, J. Forbrich, K. V. Getman, B. Portilla-Revelo, D. Semenov, S. E. van Terwisga, J. Varga, L. Zwicky, G. G. Bal\'azs, Zs. Bora, \'A. Horti-D\'avid, A. P. Jo\'o, W. Og{\l}oza, B. Seli, M. Siwak, \'A. S\'odor, N. Tak\'acs

Time-resolved protoplanetary disk physics in DQ Tau with JWST
Accretion variability is ubiquitous in YSOs. While large outbursts may strongly affect the disk, the effects of moderate bursts are less understood. We aim to study the physical response of the disk around the eccentric binary system DQ Tau to its periodic accretion changes. We organized a multi-wavelength campaign centered on four JWST/MIRI spectra. We targeted three periastrons (high accretion state) and one apastron (quiescence). We used optical and near-infrared spectroscopy and photometry …

Combined Stochastic and Robust Optimization for Electric Autonomous Mobility-on-Demand with Nested Benders Decomposition
Sten Elling Tingstad Jacobsen, Bal\'azs Kulcs\'ar, Anders Lindman
https://arxiv.org/abs/2508.19933

Combined Stochastic and Robust Optimization for Electric Autonomous Mobility-on-Demand with Nested Benders Decomposition
The electrification and automation of mobility are reshaping how cities operate on-demand transport systems. Managing Electric Autonomous Mobility-on-Demand (EAMoD) fleets effectively requires coordinating dispatch, rebalancing, and charging decisions under multiple uncertainties, including travel demand, travel time, energy consumption, and charger availability. We address this challenge with a combined stochastic and robust model predictive control (MPC) framework. The framework integrates sp…

Hierarchy and ranking in pairwise sports contests
Bogd\'an Asztalos, Boldizs\'ar Bal\'azs, Gergely Palla, Tam\'as Vicsek
https://arxiv.org/abs/2508.19848 https:/…

Hierarchy and ranking in pairwise sports contests
Ranking athletes by their performance in competitions and tournaments is common in every popular sport and has significant benefits that contribute to both the organization and strategic aspects of competitions. Although rankings are perhaps the most concise and most straightforward representation of the relative strength among the competitors, beyond this one-dimensional characterization, it is also possible to capture the relationships between athletes in greater detail. Following this approa…

Bribers, Bribers on The Chain, Is Resisting All in Vain? Trustless Consensus Manipulation Through Bribing Contracts
Bence So\'oki-T\'oth, Istv\'an Andr\'as Seres, Kamilla Kara, \'Abel Nagy, Bal\'azs Pej\'o, Gergely Bicz\'ok
https://arxiv.org/abs/2509.17185

Bribers, Bribers on The Chain, Is Resisting All in Vain? Trustless Consensus Manipulation Through Bribing Contracts
The long-term success of cryptocurrencies largely depends on the incentive compatibility provided to the validators. Bribery attacks, facilitated trustlessly via smart contracts, threaten this foundation. This work introduces, implements, and evaluates three novel and efficient bribery contracts targeting Ethereum validators. The first bribery contract enables a briber to fork the blockchain by buying votes on their proposed blocks. The second contract incentivizes validators to voluntarily exi…

Anomalous Quantum Relaxation in the Infinite Temperature Hubbard Chain
Catalin Pascu Moca, Bal\'azs D\'ora
https://arxiv.org/abs/2509.20759 https://

Anomalous Quantum Relaxation in the Infinite Temperature Hubbard Chain
The self-energy encodes the fundamental lifetime of quasiparticle excitations. In one dimension, it is known to display anomalous behavior at zero temperature for interacting fermions, reflecting the breakdown of Fermi-liquid theory. Here we show that the self-energy is also anomalous in the infinite temperature Hubbard chain, where thermal fluctuations are maximal. Focusing on the second order ring diagram, we find that the imaginary part of the self-energy diverges non-perturbatively: as a po…

Informative Post-Hoc Explanations Only Exist for Simple Functions
Eric G\"unther, Bal\'azs Szabados, Robi Bhattacharjee, Sebastian Bordt, Ulrike von Luxburg
https://arxiv.org/abs/2508.11441

Informative Post-Hoc Explanations Only Exist for Simple Functions
Many researchers have suggested that local post-hoc explanation algorithms can be used to gain insights into the behavior of complex machine learning models. However, theoretical guarantees about such algorithms only exist for simple decision functions, and it is unclear whether and under which assumptions similar results might exist for complex models. In this paper, we introduce a general, learning-theory-based framework for what it means for an explanation to provide information about a deci…

Crosslisted article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Anomalous Quantum Relaxation in the Infinite Temperature Hubbard Chain
Catalin Pascu Moca, Bal\'azs D\'ora

Boosted second moment method in random regular graphs
Bal\'azs Gerencs\'er, Viktor Harangi
https://arxiv.org/abs/2510.12600 https://arxiv.org/pdf/2…

Boosted second moment method in random regular graphs
Determining the asymptotic independence ratio of random regular graphs is a key challenge in the area of sparse random graphs. Due to the interpolation method, very good upper bounds are known, which are actually known to be sharp for sufficiently large degrees. This paper provides explicit lower bounds for given degrees $d$, beating the previous best bounds for $d \geq 10$. The starting point is a second moment argument that we can boost by arguing that the obtained independent set has a cer…

Spherically symmetric counterflow turbulence in open geometry
Tom\'a\v{s} Dunca, Filip Novotn\'y, Marek Tal\'i\v{r}, Bal\'azs Szalai, Nikita Ustinov, Ladislav Skrbek, Emil Varga
https://arxiv.org/abs/2509.14103

Spherically symmetric counterflow turbulence in open geometry
We report preliminary results on spherical thermal counterflow generated by a small central heater in an open geometry, an open bath of superfluid He~II, as closed-cell experiments could have introduced artifacts such as overheating and boundary-induced flows. In order to eliminate them, we measure second sound attenuation in a plane-parallel resonator. Our results are at variance with the previous experiments in closed spherical cavity that showed plateau in the steady-state vortex line densit…

Quantum Coherence in a Maximally Hot Hubbard Chain
C\u{a}t\u{a}lin Pa\c{s}cu Moca, Ovidiu I. Patu, Bal\'azs D\'ora, Gergely Zar\'and
https://arxiv.org/abs/2509.20498

Quantum Coherence in a Maximally Hot Hubbard Chain
We present a detailed study of the real-time dynamics and spectral properties of the one-dimensional fermionic Hubbard model at infinite temperature. Using tensor network simulations in Liouville space, we compute the single-particle Green's function and analyze its dynamics across a broad range of interaction strengths. To complement the time-domain approach, we develop a high-resolution Chebyshev expansion method within the density matrix formalism, enabling direct access to spectral function…

From Data to Rewards: a Bilevel Optimization Perspective on Maximum Likelihood Estimation
Abdelhakim Benechehab, Gabriel Singer, Corentin L\'eger, Youssef Attia El Hili, Giuseppe Paolo, Albert Thomas, Maurizio Filippone, Bal\'azs K\'egl
https://arxiv.org/abs/2510.07624

From Data to Rewards: a Bilevel Optimization Perspective on Maximum Likelihood Estimation
Generative models form the backbone of modern machine learning, underpinning state-of-the-art systems in text, vision, and multimodal applications. While Maximum Likelihood Estimation has traditionally served as the dominant training paradigm, recent work have highlighted its limitations, particularly in generalization and susceptibility to catastrophic forgetting compared to Reinforcement Learning techniques, such as Policy Gradient methods. However, these approaches depend on explicit reward …

Nonreciprocal constitutive laws for oriented active solids
Bal\'azs N\'emeth, Takuya Kobayashi, Ronojoy Adhikari
https://arxiv.org/abs/2509.11430 https://

Nonreciprocal constitutive laws for oriented active solids
We present an overdamped continuum description of oriented active solids in which interactions respect the symmetries of space but do not obey the principle of action and reaction. Taking position and orientation as kinematic variables, we examine the conservation of the linear and angular momentum variables in an elementary volume. We find that nonreciprocal interactions yield, in addition to the areal stresses and moment stresses of classical elasticity, volumetric forces and torques that act…

Localized states and skin effect around non-Hermitian impurities in tight-binding models
Bal\'azs Het\'enyi, Bal\'azs D\'ora
https://arxiv.org/abs/2508.00519 htt…

Localized states and skin effect around non-Hermitian impurities in tight-binding models
We use the generalized Bloch theorem formalism of Alase {\it et al.} [{\it Phys. Rev. Lett.} {\bf 117} 076804 (2016)] to analyze simple one-dimensional tight-binding lattice systems connected by Hermitian bonds (all with the same hopping parameter $t$), but containing one bond impurity which can be either Hermitian or non-Hermitian. We calculate the band structure, the bulk-boundary correspondence indicator ($D_L(ε)$) and analyze the eigenvalues of the lattice translation operator ($z$), for e…

A free fermions in disguise model with claws
Kohei Fukai, Istv\'an Vona, Bal\'azs Pozsgay
https://arxiv.org/abs/2508.05789 https://arxiv.org/pdf/25…

A free fermions in disguise model with claws
Recently, several spin chain models have been discovered that admit solutions in terms of "free fermions in disguise." A graph-theoretical treatment of such models was also established, giving sufficient conditions for free fermionic solvability. These conditions involve a particular property of the so-called frustration graph of the Hamiltonian, namely that it must be claw-free. Additionally, one set of sufficient conditions also requires the absence of so-called even holes. In this paper, we …

Replaced article(s) found for astro-ph.GA. https://arxiv.org/list/astro-ph.GA/new
[1/1]:
- The AKARI FIS YSO Catalogue
T\'oth, Marton, Zahorecz, Bal\'azs, Ueno, Tamura, Kawamura, Kiss, Kitamura

On exponential separation of analytic self-conformal sets on the real line
Bal\'azs B\'ar\'any, Istv\'an Kolossv\'ary, Sascha Troscheit
https://arxiv.org/abs/2509.07888

On exponential separation of analytic self-conformal sets on the real line
In a recent article, Rapaport showed that the there is no dimension drop for exponentially separated analytic IFSs on the real line. We show that the set of such exponentially separated IFSs in the space of analytic IFSs contains an open and dense set in the $\mathcal{C}^2$ topology. Moreover, we give a sufficient condition for the IFS to be exponentially separated which allows us to construct explicit examples which are exponentially separated. The key technical tool is the introduction of the…

Hot but Coherent: Doublons at Infinite Temperature in the Hubbard chain
C\u{a}t\u{a}lin Pa\c{s}cu Moca, Bal\'azs D\'ora, Gergely Zar\'and
https://arxiv.org/abs/2509.20504

Hot but Coherent: Doublons at Infinite Temperature in the Hubbard chain
We investigate the spectral properties and the dynamics of doublons in the one-dimensional Hubbard model at infinite temperature. Using a Chebyshev expansion approach formulated in the superfermionic representation, we compute the momentum- and frequency-resolved doublon spectral function across a wide range of interaction strengths $U$ and in the presence of an external electric field. Increasing the interaction, the spectrum gradually splits into separate bands associated with two-hole and tw…

High contrast few-cycle frontend with hybrid amplification for petawatt-class lasers
Roland S. Nagymih\'aly, Mikhail Kalashnikov, Levente Lehotai, Viktor Pajer, J\'anos Bohus, N\'ora Csernus-Luk\'acs, J\'anos Csontos, Szabolcs T\'oth, Bal\'azs Tari, Ignas Balciunas, Ernestas Kucinskas, Tomas Stanislauskas, \'Ad\'am B\"orzs\"onyi

High contrast few-cycle frontend with hybrid amplification for petawatt-class lasers
We present a 10 mJ-class laser system for seeding petawatt-class Ti:Sa lasers based on a hybrid, femtosecond optical parametric and negatively chirped Ti:Sa-based amplification architecture. Output pulses with 13 mJ energy, 14.4 fs transform limited duration, and high spatio-spectral quality are reached at 100 Hz repetition rate centered at 788 nm wavelength. By compressing 1 mJ energy with bulk glass and positively chirped mirrors, a pulse duration of 15.5 fs is measured. The intensity contras…

Replaced article(s) found for cs.CR. https://arxiv.org/list/cs.CR/new
[2/2]:
- On Rate-Optimal Partitioning Classification from Observable and from Privatised Data
Bal\'azs Csan\'ad Cs\'aji, L\'aszl\'o Gy\"orfi, Ambrus Tam\'as, Harro Walk

Replaced article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
[1/2]:
- On Rate-Optimal Partitioning Classification from Observable and from Privatised Data
Bal\'azs Csan\'ad Cs\'aji, L\'aszl\'o Gy\"orfi, Ambrus Tam\'as, Harro Walk

Crosslisted article(s) found for q-bio.MN. https://arxiv.org/list/q-bio.MN/new
[1/1]:
- A flux-based approach for analyzing the disguised toric locus of reaction networks
Bal\'azs Boros, Gheorghe Craciun, Oskar Henriksson, Jiaxin Jin, Diego Rojas La Luz

On the compatibility conditions of finite deformations
Bal\'azs Pere
https://arxiv.org/abs/2509.10525 https://arxiv.org/pdf/2509.10525

On the compatibility conditions of finite deformations
This paper examines the intuitive meaning of the Saint--Venant compatibility equation known from the linear theory of deformations. The linearized theory is typically obtained from the relations of finite deformation theory by neglecting higher-order terms. We show how to formulate the compatibility conditions for finite deformations and how the well-known equation for small deformations follows from this formulation.

Hausdorff dimension of the Wedding cake type surfaces
Bal\'azs B\'ar\'any, Manuj Verma
https://arxiv.org/abs/2510.04613 https://arxiv.org/pdf/2…

Hausdorff dimension of the Wedding cake type surfaces
In this paper, we study the Hausdorff dimension of fractal interpolation surfaces (FISs) over a triangular domain. These FISs are known as `wedding cake surfaces'. These surfaces are the attractor of some deterministic self-affine iterated function systems (IFS) on $\mathbb{R}^3$ generated by a fractal interpolation algorithm. Due to the recent seminal result of Rapaport (Adv. Math. 449 (2024) 109734), the dimension theory of self-affine IFS on $\mathbb{R}^3$ is known whenever the IFS is strong…

Error estimates for a surface finite element method for anisotropic mean curvature flow
Klaus Deckelnick, Harald Garcke, Bal\'azs Kov\'acs
https://arxiv.org/abs/2508.01078

Error estimates for a surface finite element method for anisotropic mean curvature flow
Error estimates are proved for an evolving surface finite element semi-discretization for anisotropic mean curvature flow of closed surfaces. For the geometric surface flow, a system coupling the anisotropic evolution law to parabolic evolution equations for the surface normal and normal velocity is derived, which then serve as the basis for the proposed numerical method. The algorithm for anisotropic mean curvature flow is proved to be convergent in the $H^1$-norm with optimal-order for finite…

Impact of material properties on the spectral broadening process in thin solid media
Viktor Pajer, Levente Lehotai, J\'anos Bohus, Bal\'azs Tari, Mikhail Kalashnikov, \'Ad\'am B\"orzs\"onyi, Roland S. Nagymih\'aly
https://arxiv.org/abs/2508.05071

Impact of material properties on the spectral broadening process in thin solid media
The post-compression of high peak power laser pulses can efficiently increase the peak intensity on target without the need to build additional amplification stages and enlarge the compressor optics. However, to our best knowledge, the spectral broadening of such pulses with different nonlinear media has not yet been investigated systematically. Here we performed an experimental campaign with mJ-class 25 fs pulses, where the conditions of high energy post-compression were emulated. Fused silica…

A flux-based approach for analyzing the disguised toric locus of reaction networks
Bal\'azs Boros, Gheorghe Craciun, Oskar Henriksson, Jiaxin Jin, Diego Rojas La Luz
https://arxiv.org/abs/2510.03621

A flux-based approach for analyzing the disguised toric locus of reaction networks
Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynamical systems is challenging due to the possibility of multistability, oscillations, and chaotic dynamics. One important tool for this study is the concept of reaction systems, which are dynamical systems generated by reaction networks for some choices of parameter values. Among these, disguised toric systems are remark…

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- On the compatibility conditions of finite deformations
Bal\'azs Pere