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Julien Chevallier

Maitre de conférence à l'UFR IM2AG de l'Université Grenoble Alpes
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15
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Affiliations actuelles
  • 1043083
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Domaines de recherche

Probabilités [math.PR]

Publications

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Diffusion approximation of multi-class Hawkes processes: Theoretical and numerical analysis

Julien Chevallier , Anna Melnykova , Irene Tubikanec
Advances in Applied Probability, 2021, 53 (3), pp.716-756. ⟨10.1017/apr.2020.73⟩
Article dans une revue hal-02513614v2
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Fluctuations for Spatially Extended Hawkes Processes

Julien Chevallier , Guilherme Ost
Stochastic Processes and their Applications, 2020, 130 (9), pp.5510-5542. ⟨10.1016/j.spa.2020.03.015⟩
Article dans une revue hal-02291280v1
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Network of interacting neurons with random synaptic weights

Paolo Grazieschi , Marta Leocata , Cyrille Mascart , Julien Chevallier , François Delarue
ESAIM: Proceedings and Surveys, 2019, CEMRACS 2017 - Numerical methods for stochastic models: control, uncertainty quantification, mean-field, 65, pp.445-475. ⟨10.1051/proc/201965445⟩
Article dans une revue hal-01928990v1
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Stimulus sensitivity of a spiking neural network model

Julien Chevallier
Journal of Statistical Physics, 2018, 170 (4), pp.800-808. ⟨10.1007/s10955-017-1948-y⟩
Article dans une revue hal-01589112v2
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Uniform decomposition of probability measures: quantization, clustering and rate of convergence

Julien Chevallier
Journal of Applied Probability, 2018, 55 (4), pp.1037-1045. ⟨10.1017/jpr.2018.69⟩
Article dans une revue hal-01677877v2
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Mean field limits for nonlinear spatially extended hawkes processes with exponential memory kernels

Julien Chevallier , A Duarte , E Löcherbach , G Ost
Stochastic Processes and their Applications, In press
Article dans une revue hal-01489278v2
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Mean-field limit of generalized Hawkes processes

Julien Chevallier
Stochastic Processes and their Applications, 2017, 127 (12), ⟨10.1016/j.spa.2017.02.012⟩
Article dans une revue hal-01217407v2
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Fluctuations for mean-field interacting age-dependent Hawkes processes

Julien Chevallier
Electronic Journal of Probability, 2017, 22 (42), ⟨10.1214/17-EJP63⟩
Article dans une revue hal-01393373v2
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Detection of dependence patterns with delay

Julien Chevallier , Thomas Laloë
Biometrical Journal, 2015, 57 (6), ⟨10.1002/bimj.201400235⟩
Article dans une revue hal-00998864v3
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Microscopic approach of a time elapsed neural model

Julien Chevallier , Maria J. Caceres , Marie Doumic , Patricia Reynaud-Bouret
Mathematical Models and Methods in Applied Sciences, 2015, http://www.worldscientific.com/doi/10.1142/S021820251550058X. ⟨10.1142/S021820251550058X⟩
Article dans une revue hal-01159215v1
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Modelling large neural networks via Hawkes processes

Julien Chevallier
General Mathematics [math.GM]. COMUE Université Côte d'Azur (2015 - 2019), 2016. English. ⟨NNT : 2016AZUR4051⟩
Thèse tel-01415622v2