The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
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Asymptotical expansions in the Kubilius theorem of large deviations
Lietuvos Matematikos Rinkinys, 2005 In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
Rimantas Skrabutėnas
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Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case [PDF]
, 2013 As well known, for a supercritical Galton-Watson process $Z_n$ whose offspring distribution has mean $m>1$, the ratio $W_n:=Z_n/m^n$ has a.s. limit, say $W$.
Denisov, Denis +2 more
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The order parameter-entropy relation in some universal classes: experimental evidence [PDF]
, 2003 The asymptotic behaviour near phase transitions can be suitably characterized by the scaling of $\Delta s/Q^2$ with $\epsilon=1-T/T_c$, where $\Delta s$ is the excess entropy and $Q$ is the order parameter. As $\Delta s$ is obtained by integration of the
Atake T +31 more
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Nonequilibrium phase transitions in a model for the origin of life [PDF]
, 2001 The requisites for the persistence of small colonies of self-replicating molecules living in a two-dimensional lattice are investigated analytically in the infinite diffusion or mean-field limit and through Monte Carlo simulations in the position-fixed ...
Ferreira, Claudia P., Fontanari, J. F.
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Asymptotics of work distributions in a stochastically driven system [PDF]
, 2017 We determine the asymptotic forms of work distributions at arbitrary times $T$, in a class of driven stochastic systems using a theory developed by Engel and Nickelsen (EN theory) (arXiv:1102.4505v1 [cond-mat.stat-mech]), which is based on the ...
Krishnamurthy, Supriya +1 more
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Bootstrap Testing of the Rank of a Matrix via Least Squared Constrained Estimation [PDF]
, 2013 In order to test if an unknown matrix has a given rank (null hypothesis), we consider the family of statistics that are minimum squared distances between an estimator and the manifold of fixed-rank matrix.
Delyon, Bernard, Portier, François
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Kinetics of fragmentation-annihilation processes [PDF]
, 1996 We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, nonlinear process, fragments react at collision to produce an inert species, causing loss of mass.
A. F. Filippov +33 more
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Coexistence of absolute negative mobility and anomalous diffusion [PDF]
, 2019 Using extensive numerical studies we demonstrate that absolute negative mobility of a Brownian particle (i.e. the net motion into the direction opposite to a constant biasing force acting around zero bias) does coexist with anomalous diffusion.
Hänggi, P. +2 more
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Depletion effects in smectic phases of hard rod--hard sphere mixtures [PDF]
, 2006 It is known that when hard spheres are added to a pure system of hard rods the stability of the smectic phase may be greatly enhanced, and that this effect can be rationalised in terms of depletion forces.
Cinacchi, Giorgio +3 more
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