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31 - 40 of 40 results for: MATH

MATH 230C: Theory of Probability III (STATS 310C)

Continuous time stochastic processes: martingales, Brownian motion, stationary independent increments, Markov jump processes and Gaussian processes. Invariance principle, random walks, LIL and functional CLT. Markov and strong Markov property. Infinitely divisible laws. Some ergodic theory. Prerequisite: 310B or MATH 230B. http://statweb.stanford.edu/~adembo/stat-310c/
Terms: Spr | Units: 2-4

MATH 233C: Topics in Combinatorics

A topics course in combinatorics and related areas. The topic will be announced by the instructor.
Terms: Spr | Units: 3 | Repeatable for credit

MATH 235B: Modern Markov Chain Theory

This is a graduate-level course on the use and analysis of Markov chains. Emphasis is placed on explicit rates of convergence for chains used in applications to physics, biology, and statistics. Topics covered: basic constructions (metropolis, Gibbs sampler, data augmentation, hybrid Monte Carlo); spectral techniques (explicit diagonalization, Poincaré, and Cheeger bounds); functional inequalities (Nash, Sobolev, Log Sobolev); probabilistic techniques (coupling, stationary times, Harris recurrence). A variety of card shuffling processes will be studies. Central Limit and concentration.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: Diaconis, P. (PI)

MATH 249C: Topics in Number Theory

Terms: Spr | Units: 3 | Repeatable for credit
Instructors: Tsai, C. (PI)

MATH 256A: Partial Differential Equations

The theory of linear and nonlinear partial differential equations, beginning with linear theory involving use of Fourier transform and Sobolev spaces. Topics: Schauder and L2 estimates for elliptic and parabolic equations; De Giorgi-Nash-Moser theory for elliptic equations; nonlinear equations such as the minimal surface equation, geometric flow problems, and nonlinear hyperbolic equations.
Terms: Spr | Units: 3
Instructors: Luk, J. (PI)

MATH 283A: Topics in Topology

Terms: Spr | Units: 3 | Repeatable for credit

MATH 286: Topics in Differential Geometry

May be repeated for credit.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: White, B. (PI)

MATH 298: Graduate Practical Training

Only for mathematics graduate students. Students obtain employment in a relevant industrial or research activity to enhance their professional experience. Students submit a concise report detailing work activities, problems worked on, and key results. May be repeated for credit up to 3 units. Prerequisite: qualified offer of employment and consent of department. Prior approval by Math Department is required; you must contact the Math Department's Student Services staff for instructions before being granted permission to enroll.
Terms: Aut, Win, Spr | Units: 1 | Repeatable for credit
Instructors: Ryzhik, L. (PI)

MATH 360: Advanced Reading and Research

Terms: Aut, Win, Spr, Sum | Units: 1-10 | Repeatable for credit

MATH 802: TGR Dissertation

Terms: Aut, Win, Spr, Sum | Units: 0 | Repeatable for credit
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