Stochastic Processes: Selected Papers on Hiroshi Tanaka Book

	Preface
	H. Tanaka: An Appreciation	1
	From Local Times to Random Environments	2
	Contributions and Influences of Professor Tanaka in Stochastic Analysis	5
	Some Comments on My Mathematical Works in Retrospect	10
	Additive Functionals of the Brownian Path	19
	Note on Continuous Additive Functionals of the 1-Dimensional Brownian Path	47
	Existence of Diffusions with Continuous Coefficients	54
	Propagation of Chaos for Certain Purely Discontinuous Markov Processes with Interactions	69
	An Inequality for a Functional of Probability Distributions and Its Application to Kac's One-Dimensional Model of a Maxwellian Gas	83
	On Markov Process Corresponding to Boltzmann's Equation of Maxwellian Gas	89
	On the Uniqueness of Markov Process Associated with the Boltzmann Equation of Maxwellian Molecules	101
	Probabilistic Treatment of the Boltzmann Equation of Maxwellian Molecules	118
	Stochastic Differential Equations with Reflecting Boundary Condition in Convex Regions	157
	Some Probabilistic Problems in the Spatially Homogeneous Boltzmann Equation	172
	Limit Theorems for Certain Diffusion Processes with Interaction	182
	Central Limit Theorem for a System of Markovian Particles with Mean Field Interactions	202
	Propagation of Chaos for Diffusing Particles of Two Types with Singular Mean Field Interaction	223
	Stochastic Differential Equations for Mutually Reflecting Brownian Balls	238
	Limit Distribution for 1-Dimensional Diffusion in a Reflected Brownian Medium	254
	Limit Distributions for One-Dimensional Diffusion Processes in Self-Similar Random Environments	270
	Stochastic Differential Equation Corresponding to the Spatially Homogeneous Boltzmann Equation of Maxwellian and Non-Cutoff Type	292
	Limit Theorem for One-Dimensional Diffusion Process in Brownian Environment	311
	On the Maximum of a Diffusion Process in a Drifted Brownian Environment	328
	Recurrence of a Diffusion Process in a Multidimensional Brownian Environment	336
	Localization of a Diffusion Process in a One-Dimensional Brownian Environment	341
	Diffusion Processes in Random Environments	353
	Environment-Wise Central Limit Theorem for a Diffusion in a Brownian Environment with Large Drift	361
	A Diffusion Process in a Brownian Environment with Drift	373
	Limit Theorems for a Brownian Motion with Drift in a White Noise Environment	396
	Invariance Principle for a Brownian Motion with Large Drift in a White Noise environment	406
	Some Theorems Concerning Extrema of Brownian Motion with d-Dimensional Time	415
	Bibliography of Hiroshi Tanaka	425
	Permissions	429