Arnaud Debussche

Finance · 2002–2017

A researcher in the Science corpus: 16 papers; trusts 38 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Finance — 92 citations into it; #984 of 10,518 by trust here, #1,800 by citations
• Applied Mathematics — 64 citations into it; #533 of 7,620 by trust here, #699 by citations
• Computational Mechanics — 33 citations into it; #1,891 of 10,001 by trust here, #4,178 by citations
• Mathematical Physics — 33 citations into it; #2,896 of 8,562 by trust here, #2,582 by citations
• Control and Systems Engineering — 31 citations into it; #3,059 of 8,257 by trust here, #3,389 by citations
• Computational Theory and Mathematics — 29 citations into it; #3,666 of 12,182 by trust here, #5,465 by citations
• Statistical and Nonlinear Physics — 9 citations into it; #4,105 of 10,127 by trust here, #6,421 by citations
• Modeling and Simulation — 7 citations into it; #1,174 of 2,105 by trust here, #1,258 by citations

Whom Arnaud Debussche trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jonathan C. Mattingly
2. Giuseppe Da Prato
3. Sergei B. Kuksin
4. Jin Feng
5. Franco Flandoli
6. Marco Fuhrman
7. Martin Hairer
8. R. Mikulevicius
9. Benoit Perthame
10. Sean P. Meyn

Who trusts Arnaud Debussche overall

1. Martina Hofmanov'a
2. Benjamin Gess
3. Martin Hairer
4. Panagiotis E. Souganidis
5. Giuseppe Da Prato
6. Massimiliano Gubinelli
7. Franco Flandoli
8. Viktorya Knopova
9. Charles-Edouard Br'ehier
10. Fabian Hornung

Papers from Arnaud Debussche's perspective

Ordered by how strongly the researchers Arnaud Debussche trusts endorse each paper. Same corpus, a different order for every researcher.

1. Stochastic equations in infinite dimensions
2. Exponential Convergence for the Stochastically Forced Navier-Stokes Equations and Other Partially Dissipative Dynamics
3. Markov Chains and Stochastic Stability
4. Coupling approach to white-forced nonlinear PDEs
5. Markov Processes: Characterization and Convergence
6. Ergodicity for the 3D stochastic Navier–Stokes equations
7. Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
8. Controlled Markov processes and viscosity solutions
9. Exponential ergodicity for stochastic Burgers and 2D Navier–Stokes equations
10. Second Order Partial Differential Equations in Hilbert Spaces: Bibliography

Their papers

• Conservative stochastic Cahn–Hilliard equation with reflection (2006) — 72 citations
• Strong solutions to the stochastic quantization equations (2003) — 329 citations
• Convergence of stochastic gene networks to hybrid piecewise deterministic processes (2011) — 137 citations
• Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient (2017) — 51 citations
• Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction (2013) — 103 citations
• Existence of densities for stable-like driven SDEʼs with Hölder continuous coefficients (2013) — 66 citations
• Degenerate parabolic stochastic partial differential equations: Quasilinear case (2013) — 129 citations
• Invariant measure of scalar first-order conservation laws with stochastic forcing (2013) — 63 citations
• Local martingale and pathwise solutions for an abstract fluids model (2010) — 201 citations
• Scalar conservation laws with stochastic forcing (2010) — 168 citations
• Ergodic BSDEs under weak dissipative assumptions (2010) — 74 citations
• 2D Stochastic Navier–Stokes Equations with a Time-Periodic Forcing Term (2008) — 49 citations
• Optimal control of a stochastic heat equation with boundary-noise and boundary-control (2007) — 67 citations
• Ergodicity for the 3D stochastic Navier–Stokes equations (2003) — 213 citations
• The Stochastic Nonlinear Schrödinger Equation in H 1 (2003) — 231 citations
• Two-Dimensional Navier--Stokes Equations Driven by a Space--Time White Noise (2002) — 231 citations