5 papers
The Hamilton-Jacobi Equation: an intuitive approach
Bahram Houchmandzadeh
The Hamilton-Jacobi equation (HJE) is one of the most elegant approach to Lagrangian systems such as geometrical optics and classical mechanics, establishing the duality between tr…
Large deviation of long time average for a stochastic process : an alternative method
Bahram Houchmandzadeh
We present here a simple method for computing the large deviation of long time average for stochastic jump processes. We show that the computation of the rate function can be reduc…
Giant fluctuations in logistic growth
Bahram Houchmandzadeh
We analyze the fluctuation of the number of individuals when two competing species, beginning with a few initial individuals, are submitted to a logistic growth. We show that when…
A simple, general result for the variance of substitution number in molecular evolution
Bahram Houchmandzadeh, Marcel Vallade
The number of substitutions (of nucleotides, amino acids, ...) that take place during the evolution of a sequence is a stochastic variable of fundamental importance in the field of…
General formulation of Luria-Delbr{ü}ck distribution of the number of mutants
Bahram Houchmandzadeh
The Luria-Delbr{ü}ck experiment is a cornerstone of evolutionary theory, demonstrating the randomness of mutations before selection. The distribution of the number of mutants in th…