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Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains
Haldane equality current fluctuations fluctuation theorems
2014/12/5
In probability theory, equalities are much less than inequalities. In this paper, we find a series
of equalities which characterize the symmetry of the forming times of a family of similar cycles
fo...
Slow time behavior of the semidiscrete Perona-Malik scheme in dimension one
Perona-Malik equation semidiscrete scheme forward-backward parabolic equation
2011/2/24
We consider the long time behavior of the semidiscrete scheme for the Perona-Malik equation in dimension one. We prove that approximated solutions converge, in a slow time scale, to solutions of a lim...
Crossovers induced by discrete-time quantum walks
Crossovers induced discrete-time quantum walks
2010/12/15
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and continuous-time r...
Charge conjugation from space-time inversion in QED: discrete and continuous groups
CPT groups space-time inversion Lorentz and Poincar´ e groups
2010/11/29
We show that the CPT groups of QED emerge naturally from the PT and P (or T )subgroups of the Lorentz group. We also find relationships between these discrete groups and continuous groups, like the co...
Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
Bä cklund Transformations trigonometric Gaudin model integrable time-discretizations
2010/4/2
We construct a two-parameter family of B\"acklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.Kuznetsov (1998,199...