Zobrazeno 1 - 10
of 2 119
pro vyhledávání: '"Korepanov, A."'
Autor:
Korepanov, A., Leppänen, J.
We study nonstationary dynamical systems formed by sequential concatenation of nonuniformly expanding maps with a uniformly expanding first return map. Assuming a polynomially decaying upper bound on the tails of first return times that is nonuniform
Externí odkaz:
http://arxiv.org/abs/2410.20994
Autor:
Korepanov, Igor G.
In this short note, we construct solutions to quantum tetrahedron equation of the kind "with variables on the edges". Each of these variables takes just two values, called sometimes "colors". We propose two different constructions. The first of them
Externí odkaz:
http://arxiv.org/abs/2404.13913
Autor:
Korepanov, Igor G.
A new version of the self-similarity spin transform on three-dimensional cubic lattices is proposed that makes possible calculation of nontrivial spin correlations in a "combinatorial" model, in which all permitted spin configurations have equal prob
Externí odkaz:
http://arxiv.org/abs/2402.12012
We consider deterministic fast-slow dynamical systems of the form \[ x_{k+1}^{(n)} = x_k^{(n)} + n^{-1} A(x_k^{(n)}) + n^{-1/\alpha} B(x_k^{(n)}) v(y_k), \quad y_{k+1} = Ty_k, \] where $\alpha\in(1,2)$ and $x_k^{(n)}\in{\mathbb R}^m$. Here, $T$ is a
Externí odkaz:
http://arxiv.org/abs/2312.15734
Autor:
Korepanov, Ya. I.
The EMF dependencies for Ag-Au-S systems were analyzed and it was found that the reactions described in reference [1] are inaccurate. Additionally, the assumption that the equilibrium state of Au remains unchanged during the measurement process was s
Externí odkaz:
http://arxiv.org/abs/2311.03211
Autor:
Korepanov, Yakov I.
In solid-state electrochemical experiments, the boundary between the sample and the electrolyte plays a crucial role, and the rest of the sample acting as a buffer that maintains a fixed composition. Due to the presence of an electrochemical circuit
Externí odkaz:
http://arxiv.org/abs/2310.13426
Autor:
Korepanov, Yakov I.
The investigation of the processes of mineral deposit formation and their history is a fundamental task. Solving this task can increase mining efficiency and make a significant contribution to understanding the formation of the Earth's crust. The mai
Externí odkaz:
http://arxiv.org/abs/2310.10099
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leaves, therefore our result covers in particular slowly mixing invertible
Externí odkaz:
http://arxiv.org/abs/2307.12714
Autor:
Korepanov, Igor G.
A family of heptagon relations -- algebraic imitations of five-dimensional Pachner moves -- is constructed, parameterized by simplicial 3-cocycles. These relations are shown to possess a nontrivial "heptagon cohomology", which yields invariants of a
Externí odkaz:
http://arxiv.org/abs/2307.07774
Autor:
Bahsoun, Wael, Korepanov, Alexey
We study infinite systems of mean field weakly coupled intermittent maps in the Pomeau-Manneville scenario. We prove that the coupled system admits a unique ``physical'' stationary state, to which all absolutely continuous states converge. Moreover,
Externí odkaz:
http://arxiv.org/abs/2303.05311