Scaling Spark in the Real World: Performance and Usability Michael Armbrust, Tathagata Das, Aaron Davidson, Ali Ghodsi, Andrew Or, Josh Rosen, Ion Stoica, Patrick Wendell, Reynold Xin, Matei Zaharia† Databricks Inc.

Source URL: cs.stanford.edu

arXiv:0707.3928v2 [math.PR] 15 OctAsymptotic expansions for functions of the increments of certain Gaussian processes Michael B. Marcus Jay Rosen

Source URL: arxiv.org

MOMENT GENERATING FUNCTIONS FOR LOCAL TIMES OF SYMMETRIC MARKOV PROCESSES AND RANDOM WALKS Michael B. Marcus and Jay Rosen 1. Introduction. We obtain moment generating functions for the local times of strongly symmetric

Source URL: www.math.csi.cuny.edu

Renormalized self-intersection local times and Wick power chaos processes Michael B. Marcus Jay Rosen Depatment of Mathematics, The City College of CUNY, New York, NY 10031

Source URL: www.math.csi.cuny.edu

• Mathematical analysis
• Polynomials
• Measure theory
• Support
• Hermite polynomials
• Central limit theorem

From: MHA-NYC Media Contact: Michael Rosen

Source URL: www.mhaofnyc.org

• Health
• Helplines
• Suicide prevention
• Substance Abuse and Mental Health Services Administration
• Substance dependence
• Personal life
• Crisis hotline
• Mental health
• National Suicide Prevention Lifeline

arXiv:1008.3522v1 [math.PR] 20 AugPermanental processes Hana Kogan Michael B. Marcus Jay Rosen ∗

Source URL: arxiv.org

• Probability distributions
• Gamma distribution
• NC
• Normal distribution
• Generalised Whitehead product
• It diffusion

GAUSSIAN PROCESSES AND THE LOCAL TIMES OF ´ SYMMETRIC LEVY PROCESSES MICHAEL B. MARCUS AND JAY ROSEN CITY COLLEGE AND COLLEGE OF STATEN ISLAND

Source URL: www.math.csi.cuny.edu

• Characteristic function
• Probability theory
• Operator theory
• Spectral theory
• Stochastic processes
• It diffusion
• Heat equation

arXiv:0806.3188v1 [math.PR] 19 JunExistence of a critical point for the infinite divisibility of squares of Gaussian vectors in R2 with non–zero mean Michael B. Marcus Jay Rosen

Source URL: arxiv.org

• Probability distributions
• Normal distribution
• Infinite divisibility
• NC
• Matrix

arXiv:0901.1102v1 [math.PR] 8 JanA CLT for the L2 modulus of continuity of Brownian local time Xia Chen, Wenbo Li, Michael B. Marcus and Jay Rosen∗ February 20, 2013

Source URL: arxiv.org

• Integral calculus
• Integration by parts
• Lemmas
• Harmonic analysis
• Operator theory
• Fourier analysis
• Singular integral operators of convolution type
• Bessel function

arXiv:0910.2932v1 [math.PR] 15 OctAn almost sure limit theorem for Wick powers of Gaussian differences quotients Michael B. Marcus Jay Rosen

Source URL: arxiv.org

• Normal distribution
• Hermite polynomials
• Fourier analysis
• Heat equation
• It diffusion