Tomoyuki Ichiba, Ph.D.

Affiliations: 
Statistics University of California, Santa Barbara, Santa Barbara, CA, United States 
 2009 Columbia University, New York, NY 
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"Tomoyuki Ichiba"

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Ioannis Karatzas grad student 2009 Columbia
 (Topics in multi-dimensional diffusion theory: Attainability, reflection, ergodicity and rankings.)
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Publications

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Detering N, Fouque J, Ichiba T. (2020) Directed Chain Stochastic Differential Equations Stochastic Processes and Their Applications. 130: 2519-2551
Ichiba T, Sarantsev A. (2019) Stationary distributions and convergence for Walsh diffusions Bernoulli. 25: 2439-2478
Ichiba T, Ludkovski M, Sarantsev A. (2019) Dynamic Contagion in a Banking System with Births and Defaults Annals of Finance. 15: 489-538
Ichiba T, Karatzas I, Prokaj V, et al. (2018) Stochastic integral equations for Walsh semimartingales Annales De L Institut Henri Poincare-Probabilites Et Statistiques. 54: 726-756
Ichiba T, Sarantsev A. (2017) Yet another condition for absence of collisions for competing Brownian particles Electronic Communications in Probability. 22
Ichiba T, Karatzas I. (2014) Skew-unfolding the skorokhod reflection of a continuous semimartingale Springer Proceedings in Mathematics and Statistics. 100: 349-376
Ichiba T, Karatzas I, Prokaj V. (2013) Diffusions with rank-based characteristics and values in the nonnegative quadrant Bernoulli. 19: 2455-2493
Fouque JP, Ichiba T. (2013) Stability in a model of interbank lending Siam Journal On Financial Mathematics. 4: 784-803
Fernholz ER, Ichiba T, Karatzas I. (2013) Two Brownian particles with rank-based characteristics and skew-elastic collisions Stochastic Processes and Their Applications. 123: 2999-3026
Fernholz R, Ichiba T, Karatzas I. (2013) A second-order stock market model Annals of Finance. 9: 439-454
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