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In this paper, we discuss long-time behavior of sample paths for a wide range of regime-switching diffusions. Firstly, almost sure asymptotic stability is concerned (i) for regime-switching diffusions with finite state spaces by the…

Probability · Mathematics 2014-10-29 Junhao Hu , Jianhai Bao , Chenggui Yuan

We discuss tachyon configuration for the unoriented bosonic string theory which produces a bosonic string theory with SO(32) gauge symmetry in ten dimensions. It is closely related to the tachyon condensation scenario proposed by A. Sen. We…

High Energy Physics - Theory · Physics 2017-08-23 Y. Matsuo

We construct BRST invariant solitonic states in the OSp invariant string field theory for closed bosonic strings. Our construction is a generalization of the one given in the noncritical case. These states are made by using the boundary…

High Energy Physics - Theory · Physics 2009-11-11 Yutaka Baba , Nobuyuki Ishibashi , Koichi Murakami

We obtain the asymptotic density of open p-brane states with zero-modes included. The resulting logarithmic correction to the p-brane entropy has a coefficient - \frac{p + 2}{2 p}, and is independent of the dimension of the embedding…

High Energy Physics - Theory · Physics 2009-11-10 S. Kalyana Rama

It is demonstrated that an infinite set of string-tree level on-shell Ward identities, which are valid to all sigma-model loop orders, can be systematically constructed without referring to the string field theory. As examples, bosonic…

High Energy Physics - Theory · Physics 2017-02-01 Jen-Chi Lee

A class of non-supersymmetric string backgrounds can be constructed using twists that involve space-time fermion parity. We propose a non-perturbative definition of string theory in these backgrounds via gauge theories with supersymmetry…

High Energy Physics - Theory · Physics 2015-05-13 Emil J. Martinec , Daniel Robbins , Savdeep Sethi

We calculate the semi-inclusive decay rate of an average string state with compactification both in the bosonic string theory and in the superstring theory. We also apply this calculation to a brane-inflation model in a warped geometry and…

High Energy Physics - Theory · Physics 2009-11-11 Bin Chen , Miao Li , Jian-Huang She

In this paper we present a complete asymptotic expansion of a symmetric homogeneous stable (balanced), stabilizable and stabilized mean. By including known asymptotic expansions of parametric means it is shown how the obtained coefficients…

Classical Analysis and ODEs · Mathematics 2024-07-15 Lenka Mihoković

For numerical semigroups with a specified list of (not necessarily minimal) generators, we obtain explicit asymptotic expressions, and in some cases quasipolynomial/quasirational representations, for all major factorization length…

Combinatorics · Mathematics 2021-02-05 Stephan Ramon Garcia , Mohamed Omar , Christopher O'Neill , Samuel Yih

We introduce the notion of asymptotic integrability into the theory of nonlinear wave equations. It means that the Hamiltonian structure of equations describing propagation of high-frequency wave packets is preserved by hydrodynamic…

Exactly Solvable and Integrable Systems · Physics 2024-07-08 A. M. Kamchatnov

The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends…

Analysis of PDEs · Mathematics 2020-09-17 Asan Omuraliev , Peiil Esengul Kyzy

We study the asymptotic behavior of solutions for the semilinear damped wave equation with variable coefficients. We prove that if the damping is effective, and the nonlinearity and other lower order terms can be regarded as perturbations,…

Analysis of PDEs · Mathematics 2021-12-14 Yuta Wakasugi

We study the von Neumann entropy asymptotics of pure translation-invariant quasi-free states of d-dimensional fermionic systems. It is shown that the entropic area law is violated by all these states: apart from the trivial cases, the…

Mathematical Physics · Physics 2011-05-09 S. Farkas , Z. Zimboras

Resonance states of a two-electron quantum dot are studied using a variational expansion with both real basis-set functions and complex scaling methods. We present numerical evidence about the critical behavior of the density of states in…

Other Condensed Matter · Physics 2010-08-26 Federico M. Pont , Omar Osenda , Pablo Serra

We analyze the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. We use the representation theory of symmetry groups to formulate a…

Mathematical Physics · Physics 2011-11-08 Janusz Grabowski , Marek Kus , Giuseppe Marmo

We study the asymptotic of the partial density function associated to holomorphic section of a postive line bundle vanishing to high orders along a fixed smooth subvariety. Assuming local torus-action-invariance, we describe the forbidden…

Complex Variables · Mathematics 2020-10-13 Jingzhou Sun

We study the problem of a quantized elastic string in the presence of an impenetrable wall. This is a two-dimensional field theory of an N-component real scalar field $\phi$ which becomes interacting through the restriction that the…

Statistical Mechanics · Physics 2009-11-11 Peter Orland , Jing Xiao

Much of the discussion in the literature of the low frequency part of the density of states of amorphous solids was dominated for years by comparing measured or simulated density of states to the classical Debye model. Since this model is…

Materials Science · Physics 2009-11-04 Valery Ilyin , Itamar Procaccia , Ido Regev , Yair Shokef

We consider a discrete time semi-Markov process where the characteristics defining the process depend on a small perturbation parameter. It is assumed that the state space consists of one finite communicating class of states and, in…

Probability · Mathematics 2016-03-21 Mikael Petersson

We investigate random density matrices obtained by partial tracing larger random pure states. We show that there is a strong connection between these random density matrices and the Wishart ensemble of random matrix theory. We provide…

Quantum Physics · Physics 2009-05-14 Ion Nechita