scholarly journals On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model

2019 ◽  
Vol 357 (9) ◽  
pp. 708-720 ◽  
Author(s):  
Didier Bresch ◽  
Pierre-Emmanuel Jabin ◽  
Zhenfu Wang
Keyword(s):  
Large Class ◽  
Mean Field ◽  
Quantitative Estimates ◽  
Singular Kernels ◽  
Mean Field Limits

scholarly journals Mean field limits for interacting Hawkes processes in a diffusive regime

Bernoulli ◽  
2022 ◽  
Vol 28 (1) ◽  
Author(s):  
Xavier Erny ◽  
Eva Löcherbach ◽  
Dasha Loukianova
Keyword(s):  
Mean Field ◽  
Hawkes Processes ◽  
Diffusive Regime ◽  
Mean Field Limits

scholarly journals Replica-Mean-Field Limits for Intensity-Based Neural Networks

2019 ◽  
Vol 18 (4) ◽  
pp. 1756-1797
Author(s):  
François Baccelli ◽  
Thibaud Taillefumier
Keyword(s):  
Neural Networks ◽  
Mean Field ◽  
Mean Field Limits

scholarly journals Mean-field limits of the quantum Potts model

1983 ◽  
Vol 90 (3) ◽  
pp. 373-387 ◽  
Author(s):  
A. Cant ◽  
Paul A. Pearce
Keyword(s):  
Potts Model ◽  
Mean Field ◽  
Mean Field Limits

scholarly journals A review of the mean field limits for Vlasov equations

2014 ◽  
Vol 7 (4) ◽  
pp. 661-711 ◽  
Author(s):  
Pierre-Emmanuel Jabin ◽  
Keyword(s):  
Mean Field ◽  
Vlasov Equations ◽  
The Mean ◽  
Mean Field Limits

A generalized class of integral operators

2020 ◽  
Vol 36 (3) ◽  
pp. 423-431
Author(s):  
VIJAY GUPTA
Keyword(s):  
Large Class ◽  
Present Note ◽  
Integral Operators ◽  
Basis Functions ◽  
Unified Approach ◽  
Quantitative Estimates ◽  
Special Cases ◽  
Discrete Operators ◽  
Durrmeyer Type Operators ◽  
The Difference

We introduce in the present note a unified approach to define integral operators, which include many well-known operators viz. Durrmeyer type operators, mixed hybrid operators as special cases. We also obtain the quantitative estimates between the difference of such integral operators with the discrete operators having same and different basis functions. Our operators proposed here give a very large class of integral operators, which have been discussed and proposed by several researchers in past seven decades.

scholarly journals On Mean Field Limits for Dynamical Systems

2015 ◽  
Vol 164 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Niklas Boers ◽  
Peter Pickl
Keyword(s):  
Dynamical Systems ◽  
Mean Field ◽  
Mean Field Limits

scholarly journals Driven Depinning of Strongly Disordered Media and Anisotropic Mean-Field Limits

2003 ◽  
Vol 91 (10) ◽  
Author(s):  
M. Cristina Marchetti ◽  
A. Alan Middleton ◽  
Karl Saunders ◽  
J. M. Schwarz
Keyword(s):  
Mean Field ◽  
Disordered Media ◽  
Mean Field Limits
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