Mean field dynamics of interaction processes with duplication, loss and copy

On the asymptotic behavior of a Boltzmann-type price formation model

(2014) Martin Burger et al.   Communications in Mathematical Sciences

A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid

(2014) Seung-Yeal Ha et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Cross-species gene-family fluctuations reveal the dynamics of horizontal transfers

(2014) J. Grilli et al.   NUCLEIC ACIDS RESEARCH

Speed of convergence to equilibrium in Wasserstein metrics for Kac-like kinetic equations

(2013) Federico Bassetti et al.   ELECTRONIC JOURNAL OF PROBABILITY

A kinetic description of mutation processes in bacteria

(2013) Giuseppe Toscani   Kinetic and Related Models

ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

(2013) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

SIZE DISTRIBUTION OF GENE FAMILIES IN A GENOME

(2013) RYSZARD RUDNICKI et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

On a Boltzmann-type price formation model

(2013) M. Burger et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Self-similar solutions in one-dimensional kinetic models: A probabilistic view

(2012) Federico Bassetti et al.   ANNALS OF APPLIED PROBABILITY

Mean field mutation dynamics and the continuous Luria–Delbrück distribution

(2012) Eugene Kashdan et al.   MATHEMATICAL BIOSCIENCES

EMERGENCE OF MULTI-CLUSTER CONFIGURATIONS FROM ATTRACTIVE AND REPULSIVE INTERACTIONS

(2012) SEUNG-YEAL HA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY

(2012) ABDELGHANI BELLOUQUID et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

The Grazing Collision Limit of the Inelastic Kac Model around a Lévy-type Equilibrium

(2012) G. Furioli et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

From particle to kinetic and hydrodynamic descriptions of flocking

(2011) Eitan Tadmor et al.   Kinetic and Related Models

Fixed points of the smoothing transform: two-sided solutions

(2011) Gerold Alsmeyer et al.   PROBABILITY THEORY AND RELATED FIELDS

The diversity of a distributed genome in bacterial populations

(2010) F. Baumdicker et al.   ANNALS OF APPLIED PROBABILITY

ABOUT THE GENE FAMILIES SIZE DISTRIBUTION IN A RECENT MODEL OF GENOME EVOLUTION

(2010) ESTER GABETTA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Explicit equilibria in a kinetic model of gambling

(2010) F. Bassetti et al.   PHYSICAL REVIEW E

Central limit theorem for a class of one-dimensional kinetic equations

(2010) Federico Bassetti et al.   PROBABILITY THEORY AND RELATED FIELDS

Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

(2010) J. A. Carrillo et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models

(2009) A. V. Bobylev et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders

(2009) B. During et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES

(2008) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Genomics of bacteria and archaea: the emerging dynamic view of the prokaryotic world

(2008) E. V. Koonin et al.   NUCLEIC ACIDS RESEARCH

Flocking in noisy environments

(2007) Felipe Cucker et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES