Liouville Quantum Duality and Random Planar Maps IIThis is Part II of our project on block-weighted planar maps and Liouville quantum duality. Focusing on the scaling properties at the dual critical point, we derive the conditional distribution of…Bertrand Duplantier, Emmanuel Guitter·Apr 27, 2026SaveLearn
Algebraic structure behind Odrzywoek's EML operatorThe binary EML operator yields all (transcendental) elementary functions by recursive application, or a binary tree. The structure of the operator itself carries two distinct ingredients: that of an…Tomasz Stachowiak·Apr 26, 2026SaveLearn
Gradual eigenvector ergodization in coupled Ginibre matricesNon-Hermitian random matrices provide a useful framework for understanding universal characteristics of dissipative quantum chaotic systems with loss or gain. We consider a model of two such system…Margherita Disertori, Yan V. Fyodorov·Apr 26, 2026SaveLearn
Regularization of Divergent Power Sums via Fractional Extension of Differential GeneratorsWe reconsider the problem of regularizing the divergent series Σn=1∞nα for Reα>-1, and offer a regularization prescription that yields the Riemann zeta…Eric A. Galapon·Apr 26, 2026SaveLearn
A Note on the Resolvent Algebra and Functional Integral Approach to the van Hove ModelThis paper is a collection of the author's computational notes on the van Hove model and contains no essentially new results. We discuss, from both the operator-algebraic perspective via the Weyl…Yoshitsugu Sekine·Apr 26, 2026SaveLearn
Q-Manifolds and Sigma ModelsRecent developments of Batalin-Vilkovisky (BV) formalism and related geometry are reviewed. Mathematical structures of BV formalism are summarized as a Q-manifold and a QP-manifold. Lie algebras, Lie…Noriaki Ikeda·Apr 26, 2026SaveLearn
Matched asymptotics of Rayleigh-wave fields near cuspidal ridges and gorgesWe construct a local matched-asymptotic description of time-harmonic elastic fields generated by Rayleigh waves near cuspidal elements of a traction-free surface. The free surface is represented…Oleg Kiselev·Apr 25, 2026SaveLearn
The large-mass limit of interacting quantum gases in the continuumWe study the large-mass limit of interacting quantum (Bose or Fermi) gases in thermal equilibrium. We show that in the suitably-defined large-mass limit, the system gives rise to a gas of classical…Spyros Garouniatis, Grega Saksida, Vedran Sohinger·Apr 24, 2026SaveLearn
A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamicsWe present a direct derivation of Arai's effective Hamiltonian in non-relativistic quantum electrodynamics without relying on the scaling limit. Our result applies to a broader class of potentials,…Yasumichi Matsuzawa·Apr 24, 2026SaveLearn
Tetrahedral L-operators, tensor Schur polynomials and q-deformed loop elementary symmetric functionsWe study three-dimensional partition functions constructed from the tetrahedral L-operator introduced and studied by Bazhanov-Sergeev and Kuniba-Maruyama-Okado. First, we explore the q=0 case,…Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa·Apr 24, 2026SaveLearn
The KMS and GNS Spectral Gap of Quantum Markov SemigroupsWe establish a relation between the exponential decay rates of quantum Markov semigroups with respect to different inner products. More precisely, it was conjectured by Fagnola, Poletti, Sasso and…Melchior Wirth·Apr 23, 2026SaveLearn
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two DimensionsWe derive the classical Gibbs measure on T2 associated with the fractional Bessel interaction potential vβ(k)= k-β from a renormalized…Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu·Apr 23, 2026SaveLearn
The Geometry Underlying the Quantum Harmonic OscillatorWe consider two-dimensional harmonic oscillator in the complex Bargmann-Fock-Segal representation with T* R2= C2 as classical phase space. We show that the eigenfunctions…Alexander D. Popov·Apr 23, 2026SaveLearn
On invariant solutions of linear time-fractional diffusion-wave equations with variable coefficientsWe study invariant solutions of a certain class of time-fractional diffusion-wave equations with variable coefficients via Lie symmetry analysis. In physics, the fractional diffusion equation…Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj et al.·Apr 23, 2026SaveLearn
How it cools? Studying the heat flow out of a semi-infinite slab in welding: An analytical approachAdditive manufacturing and welding processes are highly sensitive to heat dissipation, where improper thermal management leads to residual stresses, distortions, and cracking. Existing heat transfer…Fawzi Aly, Alex Kitt, Luke Mohr·Apr 23, 2026SaveLearn
A Nearest-Neighbor Hard-Core Model on a Penrose GraphWe prove that the maximal graph-density of an independent set in a Penrose P3 tiling considered as a planar non-directed graph is equal to (57 - 25 5)/2 ≈ 0.54915 despite the fact that…A. Mazel, I. Stuhl, Y. Suhov·Apr 22, 2026SaveLearn
Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting SitesWe prove general sufficient conditions for zero velocity in position dependent one-dimensional quantum walks, and hence for the absence of ballistic transport. Our starting point is a general a…Houssam Abdul-Rahman, Thomas A. Jackson, Yousef Salah·Apr 22, 2026SaveLearn
Variational Principles for Shock Dynamics in Compressible Euler FlowsHamilton's principle plays a central role in fluid mechanics as a fundamental tool for deriving governing equations, analyzing conservation laws, and designing structure-preserving numerical schemes.…François Gay-Balmaz, Cheng Yang·Apr 22, 2026SaveLearn
A semiclassical approach to spectral estimates for random Landau Schrodinger operatorsWe prove spectral properties for random Landau Schr\"odinger operators on L2(R2) with bounded, random potentials supported in a square L ⊂ R2 of side length…D. Borthwick, S. Eswarathasan, P. D. Hislop·Apr 22, 2026SaveLearn
Generalised Langevin Dynamics: Significance and Limitations of the Projection Operator FormalismWe discuss some mathematical aspects of the Mori-Zwanzig projection operator formalism. The core of the Mori-Zwanzig formalism is the generalised Langevin equation, which is typically derived from…Christoph Widder, Tanja Schilling·Apr 22, 2026SaveLearn
Direct construction of scalar quantum fields by L\'evy fields -- nontrivial exact Wightman fields in a wider field with a relaxed Grding-Wightman Axioms-This paper introduces partial results, in the current situation, of ongoing considerations corresponding to the above title. A construction on exact relativistic quantum field model with the space…Sergio Albeverio, Suji Kawasaki, Yumi Yahagi et al.·Apr 22, 2026SaveLearn
Quantitative Direct Sampling for Initial Acoustic SourcesThis paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined through spacetime…Xiaodong Liu, Xianchao Wang·Apr 22, 2026SaveLearn
Predictivity and Utility of Neural Surrogates of Multiscale PDEsScientific machine learning is increasingly being spoken of as universal emulators for classical numerical solvers for multi-scale partial differential equations, but most apparent successes can be…Karthik Duraisamy·Apr 21, 2026SaveLearn
Fuzzy Geometries with an Internal SpaceThe product of a non-commutative matrix spectral triple with a simple two-dimensional internal space is considered. This is interpreted as a non-commutative spacetime that contains one charged Dirac…John W. Barrett, Joseph Burridge·Apr 21, 2026SaveLearn
Painlev\'e Asymptotics of the Focusing Nonlinear Schr\"odinger Equation with a Finite-Genus Algebro-Geometric BackgroundWe investigate the Cauchy problem for the focusing nonlinear Schr\"odinger (NLS) equation equation iqt(x,t)+qxx(x,t)+2|q(x,t)|2q(x,t)=0, x∈R, t0,…Ruihong ma, Engui Fan·Apr 21, 2026SaveLearn