Fractal Weyl Law for Open Chaotic Maps [PDF]
, 2004 This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and ...
Asch, Joachim, Joye, Alain
core +9 more sources
p-Adic Mathematical Physics [PDF]
Anal.Appl.1:1-17,2009, 2009 A brief review of some selected topics in p-adic mathematical physics is presented.
A. Connes +181 more
arxiv +3 more sources
ON THE PROPAGATION OF EQUATORIAL WAVES INTERACTING WITH A NON-UNIFORM CURRENT [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We consider the propagation of equatorial waves of small amplitude, in a flow with an underlying non-uniform current. Without making the too restrictive rigid-lid approximation, by exploiting the available Hamiltonian structure of the problem, we derive ...
Emil Novruzov
doaj +1 more source
Further enumeration results concerning a recent equivalence of restricted inversion sequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Let asc and desc denote respectively the statistics recording the number of ascents or descents in a sequence having non-negative integer entries.
Toufik Mansour, Mark Shattuck
doaj +1 more source
Classification and Clustering of arXiv Documents, Sections, and Abstracts, Comparing Encodings of Natural and Mathematical Language [PDF]
ACM/IEEE Joint Conference on Digital Libraries, 2020 In this paper, we show how selecting and combining encodings of natural and mathematical language affect classification and clustering of documents with mathematical content.
Philipp Scharpf +5 more
semanticscholar +1 more source
Discretisation Schemes for Level Sets of Planar Gaussian Fields [PDF]
Communications in Mathematical Physics, 2017 Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal description of high-energy eigenfunctions of the Laplacian on generic compact ...
D. Beliaev, S. Muirhead
semanticscholar +2 more sources
Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 The formalism for Poisson–Hopf (PH) deformations of Lie–Hamilton (LH) systems, recently proposed in Ballesteros Á et al (2018 J. Phys. A: Math. Theor. 51 065202), is refined in one of its crucial points concerning applications, namely the obtention of ...
Á. Ballesteros +4 more
semanticscholar +1 more source
Characterizing covariational reasoning in physics modeling
Physics Education Research Conference Proceedings, 2022 Covariational reasoning—considering how changes in one quantity affect another, related quantity—is a foundation of quantitative modeling in physics. Understanding quantitative models is a learning objective of introductory physics instruction at the ...
Alexis Olsho +5 more
semanticscholar +1 more source
Using Math in Physics: 6. Reading the physics in a graph [PDF]
The Physics Teacher, 2023 Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend.
E. Redish
semanticscholar +1 more source
Approximate Unitary t-Designs by Short Random Quantum Circuits Using Nearest-Neighbor and Long-Range Gates [PDF]
Communications in Mathematical Physics, 2018 We prove that $${{\,\textrm{poly}\,}}(t) \cdot n^{1/D}$$ poly ( t ) · n 1 / D -depth local random quantum circuits with two qudit nearest-neighbor gates on a D -dimensional lattice with n qudits are approximate t -designs in various measures.
A. Harrow, S. Mehraban
semanticscholar +1 more source