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Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
In this paper Kantorovich type inequalities are derived for linear spaces endowed with bilinear operations ◦ 1 and ◦ 2.. Complementary inequalities are
Key words: Gelfand-Tsetlin cone; conditioned Markov process; exclusion process; last passage percolation; random matrices.. AMS 2000 Subject Classification: Primary 60J25;
Key words: Long memory (Long range dependence), Fractional Brownian motion, Fractional Ornstein-Uhlenbeck process, Exponential process, Burkholder-Davis-Gundy inequalities..
Key words: Random walks, Green’s functions, Harnack inequalities, frequent
As a byproduct, applying the general criterion of [F] leading to the hydrodynamic limit of exclusion processes with bond–dependent transition rates, for almost all realizations of
Combining Theorem 7, the tensorization property of Beckner type-inequalities, Corollary 8 and Theorem 12 allows to derive dimension-free isoperimetric inequalities for the products
The paper has the following structure: In section 2 we shall consider the coupling between the exclusion process and the dissipative system stating the hydrodynamic limit of the
