Ergodicity of Two Dimensional Turbulence [PDF]
arXiv, 2010 We review the work of Hairer and Mattingly on ergodicity of two dimensional Navier-Stokes dynamics and discuss some open mathematical problems in the theory of 2d turbulence.
arxiv
Corrigendum to “Study of some equivalence classes of primes” [Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 2, 21–29] [PDF]
, 2019 Idir Sadani
openalex +1 more source
Cook's Theory and the Twentieth Century Mathematics [PDF]
arXiv, 2011 A comprehensive review on Cook's contribution in the theory of NP-Completeness with relations to modern mathematics.
arxiv
Corrigendum to "On the dimension of an Abelian group" [Notes on Number Theory and Discrete Mathematics, 2022, Volume 27, Number 4, Pages 267-275] [PDF]
, 2022 Timo Tossavainen, Pentti Haukkanen
openalex +1 more source
Ward-like Operator in the comma theory [PDF]
IJRDO-Journal of Mathematics, Vol. 5, Issue 8, 08/2019, 2019 The construction of the Ward-like operator of the interacting string field theory presented by Witten, in terms of the half-string (comma) oscillator modes, is completed.
arxiv
A touch of quantum field theory [PDF]
Srinivasa Ramanujan: His Life, Legacy, and Mathematical Influence,
2024 by Krishnaswami Alladi (Editor), George E. Andrews (Editor), Bruce C.
Berndt (Editor), Frank Garvan (Editor), Ken Ono (Editor)The overlap of Srinivasa Ramanujan's work with quantum field theory is discussed. A mathematically natural axiom for euclidean quantum field theories is proposed.
arxiv
On the bracket problem in covariant Hamiltonian field theory [PDF]
arXiv, 1999 The polysymplectic phase space of covariant Hamiltonian field theory can be provided with the current algebra bracket.
arxiv
Unpacking Mathematics Pedagogical Content Knowledge for Elementary Number Theory: The Case of Arithmetic Word Problems [PDF]
, 2020 Wing Yee Lo
openalex +1 more source
Interaction spaces: towards a universal mathematical theory of complex systems [PDF]
arXivWe present the first steps of interaction spaces theory, a universal mathematical theory of complex systems which is able to embed cellular automata, agent based models, master equation based models, stochastic or deterministic, continuous or discrete dynamical systems, networked dynamical models, artificial neural networks and genetic algorithms in a ...
arxiv