Recurrence and transience for non‐Archimedean and directed graphs
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.70040
Abstract: We introduce notions of recurrence and transience for graphs over a non‐Archimedean ordered field. To achieve this, we establish a connection between these graphs and random walks on directed graphs over the reals. In particular,… read more here.
Keywords: directed graphs; non archimedean; recurrence transience; transience non ... See more keywords
Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators
Sign Up to like & getrecommendations! 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… read more here.
Keywords: differential operators; markov processes; archimedean elliptic; strong markov ... See more keywords
Non-Archimedean geometry of Artin fans
Sign Up to like & getrecommendations! 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… read more here.
Keywords: archimedean geometry; geometry; artin fans; geometry artin ... See more keywords
The invariant subspace problem for non-Archimedean Köthe spaces
Sign Up to like & getrecommendations! 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… read more here.
Keywords: subspace problem; non archimedean; archimedean spaces; invariant subspace ... See more keywords
A new type of approximation for the radical quintic functional equation in non-Archimedean (2,β)-Banach spaces
Sign Up to like & getrecommendations! 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 , ‖ ⋅ , ⋅ ‖ ⁎… read more here.
Keywords: new type; non archimedean; functional equation; quintic functional ... See more keywords
On complemented subspaces of non-Archimedean Köthe spaces
Sign Up to like & getrecommendations! 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… read more here.
Keywords: subspaces non; power series; complemented subspaces; generalized power ... See more keywords
$J$ -stability of expanding maps in non-Archimedean dynamics
Sign Up to like & getrecommendations! 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… read more here.
Keywords: expanding rational; rational map; non archimedean; expanding maps ... See more keywords
On wonderful compactifications of SL(2,𝔽) for non-Archimedean local fields 𝔽
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2024.2311852
Abstract: Abstract We compute the wonderful compactification of symmetric varieties of SL(2,F), where F is a finite field-extension of Qp with p≠2, that comes from either an abstract or an F-involution of SL(2,F). For each of… read more here.
Keywords: compactifications non; non archimedean; archimedean local; local fields ... See more keywords
Non-Archimedean replicator dynamics and Eigen’s paradox
Sign Up to like & getrecommendations! 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… read more here.
Keywords: eigen paradox; archimedean replicator; non archimedean; dynamics eigen ... See more keywords
The non-archimedean SYZ fibration
Sign Up to like & getrecommendations! 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… read more here.
Keywords: archimedean syz; syz fibration; non archimedean;
Motohashi’s fourth moment identity for non-archimedean test functions and applications
Sign Up to like & getrecommendations! 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… read more here.
Keywords: moment; fourth moment; identity; archimedean test ... See more keywords