Results 11 to 20 of about 214 (53)
ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
wiley +1 more source
The Jensen functional equation in non‐Archimedean normed spaces
We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non‐Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. In particular, we show that a mapping f between non‐Archimedean spaces with f(0) = 0 is additive if and only if ‖f(x+y2)−f(x)+f(y)2‖→0 as max ...
Mohammad Sal Moslehian, George Isac
wiley +1 more source
Classes of generalized functions with finite type regularities [PDF]
We introduce and analyze spaces and algebras of generalized functions which correspond to Hölder, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the characterization of the regularity of distributions that are embedded into the ...
C Garetto +13 more
core +2 more sources
Stochastic processes and antiderivational equations on non‐Archimedean manifolds
Stochastic processes on manifolds over non‐Archimedean fields and with transition measures having values in the field ℂ of complex numbers are studied. Stochastic antiderivational equations (with the non‐Archimedean time parameter) on manifolds are investigated.
S. V. Ludkovsky
wiley +1 more source
On Phase Transitions for $P$-Adic Potts Model with Competing Interactions on a Cayley Tree [PDF]
In the paper we considere three state $p$-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the $p$-adic Gibbs measures to the solution of certain recursive equation, and using it we will ...
Mendes, Jose Fernando F. +2 more
core +2 more sources
We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley +1 more source
Stochastic processes on non‐Archimedean Banach spaces
Non‐Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of stochastic antiderivations. The non‐Archimedean analog of the Itô formula is proved.
S. V. Ludkovsky
wiley +1 more source
Renormalization method in $p$-adic $\lambda$-model on the Cayley tree [PDF]
In this present paper, it is proposed the renormalization techniques in the investigation of phase transition phenomena in $p$-adic statistical mechanics. We mainly study $p$-adic $\l$-model on the Cayley tree of order two.
Mukhamedov, Farrukh
core +3 more sources
Stochastic antiderivational equations on non‐Archimedean Banach spaces
Stochastic antiderivational equations on Banach spaces over local non‐Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non‐Archimedean analog of the Gaussian measure.
S. V. Ludkovsky
wiley +1 more source
Differential and maximal ideals of the ultrametric Corona algebra [PDF]
International audienceLet $K$ be a complete ultrametric algebraically closed field and let $A$ be the Banach $K$-algebra of bounded analytic functions in the ''open'' unit disk $D$ of $K$ provided with the Gauss norm.
Escassut, Alain
core +2 more sources

