Mathematical analysis, Algorithm, Polarization, Stability and Soliton are his primary areas of study. His biological study spans a wide range of topics, including Statistical power, Statistical hypothesis testing, Random matrix and Search algorithm. His research in Algorithm intersects with topics in Seismic migration, Stability, Mathematical optimization, Surrogate model and Noise.
The Stability study combines topics in areas such as Scattering, Mean field theory, Econometrics and Bistability. To a larger extent, he studies Optics with the aim of understanding Scattering. His Soliton research focuses on Matter wave and how it relates to Wave equation.
Josselin Garnier spends much of his time researching Optics, Mathematical analysis, Scattering, Wave propagation and Nonlinear system. His Optics research includes themes of Ambient noise level and Computational physics. A large part of his Mathematical analysis studies is devoted to Asymptotic analysis.
He works mostly in the field of Scattering, limiting it down to topics relating to Paraxial approximation and, in certain cases, White noise and Intensity. His Wave propagation study frequently draws connections to adjacent fields such as Reflection. His Nonlinear system study integrates concerns from other disciplines, such as Incoherent scatter, Turbulence, Classical mechanics and Thermodynamic equilibrium.
Josselin Garnier mainly focuses on Scattering, Optics, Econometrics, Acoustics and Wave propagation. His Scattering research focuses on Speckle pattern and how it connects with Paraxial approximation, Laser and Scaling. His Optics research is multidisciplinary, relying on both Region of interest and Signal.
In general Econometrics, his work in Volatility and Stochastic volatility is often linked to Asset linking many areas of study. His work on Ambient noise level as part of his general Acoustics study is frequently connected to Waves and shallow water, thereby bridging the divide between different branches of science. Josselin Garnier interconnects Waveguide, Computational physics and Random media in the investigation of issues within Wave propagation.
His primary scientific interests are in Econometrics, Volatility, Wave propagation, Stochastic volatility and Hurst exponent. His study in Wave propagation is interdisciplinary in nature, drawing from both Computational physics, Random media, Exponential growth, Asymptotic analysis and Heavy traffic approximation. In his research, Wavelet, Turbulence and Power law is intimately related to Spectral density estimation, which falls under the overarching field of Hurst exponent.
Josselin Garnier studied Statistical physics and Bistability that intersect with Nonlinear system. Optics covers Josselin Garnier research in Laser. His Optics research is multidisciplinary, incorporating elements of Modal dispersion and Energy flux.
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Wave Propagation and Time Reversal in Randomly Layered Media
Jean-Pierre Fouque;Josselin Garnier;George Papanicolaou;Knut Sølna.
Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics
Antonio Picozzi;Josselin Garnier;Tobias Hansson;Pierre Suret.
Physics Reports (2014)
RECURSIVE CO-KRIGING MODEL FOR DESIGN OF COMPUTER EXPERIMENTS WITH MULTIPLE LEVELS OF FIDELITY
Loic Le Gratiet;Josselin Garnier.
International Journal for Uncertainty Quantification (2014)
Rigorous hitting times for binary mutations
Josselin Garnier;Leila Kallel;Marc Schoenauer.
Evolutionary Computation (1999)
Genealogical particle analysis of rare events
Pierre Del Moral;Josselin Garnier.
Annals of Applied Probability (2005)
Passive Sensor Imaging Using Cross Correlations of Noisy Signals in a Scattering Medium
Josselin Garnier;George Papanicolaou.
Siam Journal on Imaging Sciences (2009)
Imaging Schemes for Perfectly Conducting Cracks
Habib Ammari;Josselin Garnier;Hyeonbae Kang;Won-Kwang Park.
Siam Journal on Applied Mathematics (2011)
Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional
Habib Ammari;Josselin Garnier;Vincent Jugnon;Hyeonbae Kang.
Siam Journal on Control and Optimization (2012)
Coupled precipitation and yield strength modelling for non-isothermal treatments of a 6061 aluminium alloy
D. Bardel;D. Bardel;Michel Perez;Daniel Nelias;A. Deschamps.
Acta Materialia (2014)
Condensation and thermalization of classsical optical waves in a waveguide
P. Aschieri;Josselin Garnier;Claire Michel;V. Doya.
Physical Review A (2011)
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