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Category: Journal of Mathematical Physics

Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: One dimensional cases

Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: One dimensional cases

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. The stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied. The…

Commutators on Fock spaces

Commutators on Fock spaces

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. Given a weighted ℓ2 space with weights associated with an entire function, we consider pairs of weighted shift operators, whose commutators are diagonal operators, when considered as oper…

The general structure of the decoherence-free subalgebra for uniformly continuous quantum Markov semigroups

The general structure of the decoherence-free subalgebra for uniformly continuous quantum Markov semigroups

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. By using the decomposition of the decoherence-free subalgebra [math] in direct integrals of factors, we obtain a structure theorem for every uniformly continuous quantum Markov semigroup….

Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces

Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. In this paper, we consider the regularity of Wong–Zakai approximations of the non-autonomous stochastic degenerate parabolic equations with X-elliptic operators. We first establish the pu…

Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations

Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSD…

Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions

Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. For [math], a connected, open, bounded set whose boundary is a finite union of disjoint polygons whose vertices have integer coordinates, the logarithm of the discrete Laplacian on [math]…