Mme Eva Locherbach

Publications

Galves, A., Löcherbach, E., Pouzat, C. (2024) : Probabilistic Spiking Neuronal Nets - Data, Models and Theorems.  Springer, Lecture Notes on the Mathematical Modelling in the Life Sciences. 

Chevallier, J., Löcherbach, E., Ost, Guilherme (2024) : Inferring the dependence graph density of binary graphical models in high dimension. ArXiv. 

Löcherbach, E., Loukianova, D., Marini, E. (2024) : Strong propagation of chaos for systems of interacting particles with nearly stable jumps. ArXiv. 

Laxa, K., Löcherbach, E. (2024) : Propagation of chaos and phase transition in a stochastic model for a social network. To appear in JSP. ArXiv. 

Tchouanti, J., Löcherbach, E., Reynaud-Bouret, P., Tanré, E. (2024) : Separation rates for the detection of synchronization of interacting point processes in a mean field frame. Application to neuroscience. ArXiv. 

Löcherbach, E. (2024) : Fluctuations for mean field limits of interacting systems of spiking neurons. Annales de l'IHP 60, 790-823, 2024. ArXiv

Löcherbach, E., Loukianova, D. (2023) : Mean field limits of interacting particle systems with positive stable jumps. ArXiv

Löcherbach, E., Phi, T.C., Reynaud-Bouret, P. (2023) Kalikow decomposition for counting processes with stochastic intensity and application to simulation algorithms. J. Appl. Prob. 60, 1469–1500, 2023.

Erny, X., Löcherbach, E., Loukianova, D. (2023) : Strong error bounds for the convergence to its mean field limit for systems of interacting neurons in a diffusive scaling. Ann. Appl. Probab. 33, No. 5, 3563–3586, 2023. ArXiv

Löcherbach, E., Schmutz, V., Schwalger, T. (2023) : On a finite-size neuronal population equation. SIADS 22 (2), 996–1029, 2023. ArXiv

Goncalves, B., Huillet, T., Löcherbach, E. (2023) : On decay-surge population models. Advances in Applied Probability 55, 444–472, 2023. 

Erny, X., Löcherbach, E., Loukianova, D. (2022) : White-noise driven conditional McKean-Vlasov limits for systems of particles with simultaneous and random jumps. PTRF 183, 1027– 1073, 2022.  ArXiv

Goncalves, B., Huillet, T., Löcherbach, E. (2022) : On population growth with catastrophes. 38, 214–249, 2022. ArXiv

Löcherbach, E., Monmarché, P. (2022) : Metastability for systems of interacting neurons. Annales de l’IHP 58, No. 1, 343–378, 2022. ArXiv

Erny, X., Löcherbach, E., Loukianova, D. (2022) : Mean field limits for interacting Hawkes processes in a diffusive regime. Bernoulli 28, 125–149, 2022.  ArXiv

Erny, X., Löcherbach, E., Loukianova, D. (2021) : Conditional propagation of chaos for mean field systems of interacting neurons. Electron. J. Prob. 26, 1– 25, 2021.  ArXiv

Bonde Raad, M., Löcherbach, E. (2020) : Stability for Hawkes processes with inhibition. Electron. Comm. Probab. 25, 1– 9, 2020. ArXiv

Dion, C., Lemler, S., Löcherbach, E. (2020) : Exponential ergodicity for diffusions with jumps driven by a Hawkes process. Theor. Probability and Math. Statist. 102, 97–115, 2020. ArXiv

Galves, A., Löcherbach, E., Pouzat, C., Presutti, E. (2020) : A system of interacting neurons with short term plasticity. J. Stat. Phys. 178, 869-892. ArXiv

Löcherbach, E. (2020) : Convergence to equilibrium for time inhomogeneous jump diffusions with state dependent jump intensity. J. Theor. Probab. 33, 2280–2314, 2020. Arxiv

Bonde Raad, M., Ditlevsen, S., Löcherbach, E. (2020) : Age dependent Hawkes processes. Annales de l’IHP 56, 1958–1990, 2020. ArXiv

P.A. Ferrari, A. Galves, I. Grigorescu, E. Löcherbach (2018) : Phase transition for infinite systems of spiking neurons. J. Stat. Phys. 172, 1564-1575, 2018.  Arxiv

Löcherbach, E. (2019) : Large deviations for oscillating systems of interacting Hawkes processes in a mean field frame. J. Theor. Probab. J. Theor. Probab. 32, 131–162, 2019. Arxiv

Duarte, A., Galves, A., Löcherbach, E., Ost, G. (2019) : Estimating the interaction graph of stochastic neural dynamics. Bernoulli 25, 771–792, 2019. Arxiv

Chevallier, J., Duarte, A., Löcherbach, E., Ost, G. (2019) : Mean field limits for nonlinear spatially extended Hawkes processes with exponential memory kernels. SPA 129, 1-27, 2019. Arxiv

Duarte, A., Löcherbach, E., Ost, G. (2019) : Stability, convergence to equilibrium and simulation of non-linear Hawkes Processes with memory kernels given by the sum of Erlang kernels. ESAIM : Probability and Statistics 23, 770–796, 2019. Arxiv

Löcherbach, E. (2018) : Absolute continuity of the invariant measure in Piecewise Deterministic Markov Processes having degenerate jumps. Stoch. Proc. Appl. 128, 1797–1829, 2018. ArXiv

Hodara, P., Krell, N., Löcherbach, E. (2018) : Non-parametric estimation of the spiking rate in systems of interacting neurons. Statist. Inf. Stoch. Proc. 21, 81-111, 2018. ArXiv

Cassandro, M., Galves, A., Löcherbach, E. (2017) : Information transmission and criticality in the contact process. J. Stat. Phys. 168, 1180-1190, 2017. ArXiv

Cessac, B., Le Ny, A., Löcherbach, E. (2017) : On the mathematical consequences of binning rasters. Neural Computation 29, 146-170, 2017. ArXiv

Ditlevsen, S., Löcherbach, E. (2017) : Multi-class oscillating systems of interacting neurons. Stoch. Proc. Appl. 127, 1840-1869, 2017. ArXiv

Löcherbach, E., Rabiet, V. (2017) : Ergodicity for multidimensional jump diffusions with position dependent jump rate. Annales de l’IHP 53, No 3, 1136-1163, 2017.

Hodara, P., Löcherbach, E. (2017) : Hawkes processes with variable length memory and an infinite number of components. Adv. Appl. Probab. 49, 84-107, 2017. ArXiv

Höpfner, R., Löcherbach, E., Thieullen, M. (2016) : Ergodicity and limit theorems for degenerate diffusions with time periodic drift. Application to a stochastic Hodgkin-Huxley model. ESAIM P & S. 20, 527-554, 2016. ArXiv

Galves, A., Löcherbach, E. (2016) : Modelling networks of spiking neurons as interacting processes with memory of variable length. Journal de la Société Française de Statistiques 157, 17-32 (2016). Arxiv

Fournier, N., Löcherbach, E. (2016) : A toy model of interacting neurons. Annales de l’IHP 52, 1844-1876, 2016. ArXiv

Höpfner, R., Löcherbach, E., Thieullen, M. (2017) : Strongly degenerate time inhomogeneous SDEs : densities and support properties. Application to a Hodgkin-Huxley system with periodic input. Bernoulli 23, 2587-2616. Arxiv

De Masi, A., Galves, A., Löcherbach, E., Presutti, A. (2015) : Hydrodynamical limit for a system of interacting neurons. J. Stat. Phys. 158 (2015), 866-902. Arxiv

Höpfner, R., Löcherbach, E., Thieullen, M. (2016) : Ergodicity for a stochastic Hodgkin-Huxley model driven by Ornstein-Uhlenbeck type input. Annales de l’IHP 52, No. 1, 483-501 (2016). ArXiv

Galves, A., Löcherbach, E. (2013) : Infinite systems of interacting chains with memory of variable length - a stochastic model for neuronal nets. J. Stat. Physics. 151 No 5, 896-921 (2013). ArXiv

Cassandro, M., Galves, A., Löcherbach, E. (2012) : Partially observed Markov random fields are variable neighborhood random fields. J. Stat. Physics 147, No 4, 795-807 (2012). ArXiv

Löcherbach, E., Loukianova, D. (2013) : Polynomial deviation bounds for recurrent Harris processes having general state space. ESAIM : P&S 17, 195-218, 2013. ArXiv

Löcherbach, E., Loukianova, D., Loukianov, O. (2014) : Spectral condition, hitting times and Nash inequality. Annales de l’IHP 50, No. 4, 1213-1230 (2014). ArXiv

Galves, A., Garcia, N.L., Löcherbach, E., Orlandi, E. (2013) : Kalikow-type decomposition for multicolor infinite range particle systems. Annals of Applied Probability 23, No 4, 1629-1659 (2013). Arxiv

Löcherbach, E., Orlandi, E. (2011) : Neighborhood radius estimation in Variable-neighborhood random fields. Stoch. Proc. Appl. 121, 2151-2185 (2011). ArXiv

Galves, A., Löcherbach, E., Orlandi, E.(2010) : Perfect simulation of infinite range Gibbs measures and coupling with their finite range approximations. J. Statistical Physics 138, 476-495 (2010). Arxiv

Löcherbach, E., Loukianova, D. (2011) : Deviation inequalities for centered additive functionals of recurrent Harris processes having general state space. J. Theor. Probab. 25, 231-261 (2012). ArXiv

Löcherbach, E., Loukianova, D., Loukianov, D.(2011) : Polynomial bounds in the Ergodic Theorem for positive recurrent one-dimensional diffusions and integrability of hitting times. Annales de l’IHP, 47, 425-449, 2011. ArXiv

Löcherbach, E., Loukianova, D., Loukianov, D.(2011) : Penalized nonparametric drift estimation in a continuous time one-dimensional diffusion process. ESAIM : P&S, 15, 197-216, 2011.

Löcherbach, E., Loukianova, D.(2009) : The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes, Stoch. Proc. Appl., 119, 2312-2335, 2009.

Galves, A., Löcherbach, E.(2008) : Stochastic chains with memory of variable length. Festschrift in honour of the 75th birthday of Jorma Rissanen, 2008.

Fournier, N., Löcherbach, E.(2009) : Stochastic coalescence with homogeneous-like interaction rates, Stoch. Proc. Appl. 119, 45-71, 2009.

Löcherbach, E., Loukianova, D.(2008) : On Nummelin Splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multidimensional diffusions. Stoch. Proc. Appl. 118, No. 8, 1301-1321, 2008.

Höpfner, R., Löcherbach, E.(2005) : Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration. Ann. I. H. Poincaré PR 41, 1025-1047, 2005.

Löcherbach, E.(2004) : Smoothness of the intensity measure density for interacting branching diffusions with immigrations. J. Func. Analysis 215, 130-177, 2004.

Höpfner, R., Löcherbach, E.(2003) : Limit theorems for null-recurrent Markov processes. Memoirs AMS161, Number 768, 2003.

Höpfner, R., Hoffmann, M., Löcherbach, E.(2002) : Nonparametric estimation of the death rate in branching diffusions. Scand. J. Statist. 29, 665-692, 2002.

Löcherbach, E.(2002) : LAN and LAMN for systems of interacting diffusions with branching and immigration. Ann. I. H. Poincaré 38, 1, 59-90, 2002.

Löcherbach, E.(2002) : Likelihood ratio processes for Markovian particle systems with killing and jumps. Statist. Inf. Stoch. Proc. 5, 153-177, 2002.

Höpfner, R., Löcherbach, E.(1999) : Local asymptotic normality for birth and death on a flow. Stoch. Proc. Appl. 83, 61-77, 1999.

Höpfner, R., Löcherbach, E.(1999) : Statistical models for birth and death on
a flow : local absolute continuity and likelihood ratio processes. Scand. J. Statist. 26, 107-128 (1999).

Höpfner, R., Löcherbach, E.(1998) : Birth and death on a flow : local time and estimation of a position-dependent death rate. Statist. Inf. Stoch. Proc. 1, 225-243, 1998.