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Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-019-00293-3
Abstract: In this article we prove that the heat kernel attached to the non-Archimedean elliptic pseudodifferential operators determine a Feller semigroup and a uniformly stochastically continuous $$C_{0}$$ C 0 -transition function of some strong Markov processes…
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Keywords:
differential operators;
markov processes;
archimedean elliptic;
strong markov ... See more keywords
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Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.01.008
Abstract: The purpose of this article is to study the role of Artin fans in tropical and non-Archimedean geometry. Artin fans are logarithmic algebraic stacks that can be described completely in terms of combinatorial objects, so…
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Keywords:
archimedean geometry;
geometry;
artin fans;
geometry artin ... See more keywords
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Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.034
Abstract: Abstract In this study, a proof is given that if a non-Archimedean Kothe space Λ, which is generated by an infinite matrix B = ( b n k ) k , n ∈ N such…
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Keywords:
subspace problem;
non archimedean;
archimedean spaces;
invariant subspace ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.015
Abstract: Abstract Let R be the set of real numbers. In this paper, we first introduce the notions of non-Archimedean ( 2 , β ) -normed spaces ( X , ‖ ⋅ , ⋅ ‖ ⁎…
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Keywords:
new type;
non archimedean;
functional equation;
quintic functional ... See more keywords
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Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.10.011
Abstract: Abstract The generalized power series spaces D f ( a , r ) are the most known and important examples of nuclear Kothe spaces. We prove that every Kothe–Montel space (over a non-Archimedean field K…
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Keywords:
subspaces non;
power series;
complemented subspaces;
generalized power ... See more keywords
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Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.53
Abstract: The aim of this paper is to show $J$ -stability of expanding rational maps over an algebraically closed, complete and non-Archimedean field of characteristic zero. More precisely, we will show that for any expanding rational…
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Keywords:
expanding rational;
rational map;
non archimedean;
expanding maps ... See more keywords
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Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aaebb1
Abstract: We present a new non-Archimedean model of evolutionary dynamics, in which the genomes are represented by p-adic numbers. In this model the genomes have a variable length, not necessarily bounded, in contrast with the classical…
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Keywords:
eigen paradox;
archimedean replicator;
non archimedean;
dynamics eigen ... See more keywords
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Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x19007152
Abstract: We construct non-archimedean SYZ (Strominger–Yau–Zaslow) fibrations for maximally degenerate Calabi–Yau varieties, and we show that they are affinoid torus fibrations away from a codimension-two subset of the base. This confirms a prediction by Kontsevich and…
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Keywords:
archimedean syz;
syz fibration;
non archimedean;
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Published in 2020 at "Compositio Mathematica"
DOI: 10.1112/s0010437x20007101
Abstract: Motohashi established an explicit identity between the fourth moment of the Riemann zeta function weighted by some test function and a spectral cubic moment of automorphic $L$-functions. By an entirely different method, we prove a…
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Keywords:
moment;
fourth moment;
identity;
archimedean test ... See more keywords
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Published in 2018 at "Filomat"
DOI: 10.2298/fil1806127w
Abstract: In this paper, using the fixed point method, we prove some results related to the generalized Hyers-Ulam stability of homomorphisms and derivations in non-Archimedean random C∗-algebras and non-Archimedean random Lie C∗-algebras for the generalized additive…
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Keywords:
generalized hyers;
non archimedean;
archimedean random;
hyers ulam ... See more keywords
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Published in 2020 at "Filomat"
DOI: 10.2298/fil2008643w
Abstract: Using the direct method and fixed point method, we investigate the Hyers-Ulam stability of the following cubic ρ-functional equation f (x + 2y) + f (x − 2y) − 2 f (x + y) −…
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Keywords:
archimedean random;
matrix non;
cubic functional;
equation matrix ... See more keywords