ARTURO
JARAMILLO GIL

My name is Arturo Jaramillo Gil. Since September of 2018, I am a postdoctoral researcher in a collateral agreement between the universities of Luxembourg and Singapore. I work in collaboration with the research group of professors Ivan Nourdin, Giovanni Peccati, Adrian Roellin and Louis H.Y. Chen on topics of stochastic analysis and Stein's method.

My main areas of interest are stochastic analysis on Wiener space, limit theorems, fractional Brownian motion, Stein's method, local times and random matrices. See a more detailed description of my research interests here. Next you can find a list of my most recent publications

Collision of eigenvalues for matrix-valued processes

Random matrices: Theory and Applications (to appear).

A. Jaramillo, JC. Pardo, JL Pérez

Convergence of the empirical spectral distribution of Gaussian matrix-valued processes.

Electronic Journal of Probability (2019) 10.

A. Jaramillo, D. Nualart.

Functional limit theorem for the self-intersection local time of the fractional Brownian motion.

Annales de l'institut Henri Poincaré (2019) 22, 481-528.

D. Harnett, A. Jaramillo, D. Nualart.

Symmetric stochastic integrals with respect to a class of self-similar Gaussian processes.

Journal of Theoretical Probability (2019) 3, 1105-1144.

A. Jaramillo, D. Nualart

Asymptotic properties of the derivative self-intersection local time of fractional Brownian motion.

Stochastic Processes and Their Applications (2017) 127, 669-700.

O. Arizmendi, A. Jaramillo

Convergence of the fourth moment and Infinite Divisibility: Quantitative Estimates.

Electronic Communications in Probability (2014) 19, 1-12.

A. Jaramillo, I. Nourdin, G. Peccati

Approximation of local times: zero energy and weak derivatives. Arxiv file.

#### Theses:

Approximation of local times: zero energy and weak derivatives. Arxiv file.

PhD Thesis.

A. Jaramillo. Limit distributions for functionals of Gaussian
processes.

Supervisor David Nualart.

Master in Science
Thesis.

A. Jaramillo. Central limit theorems for multiple Skorohod integrals.

Supervisor Juan Carlos
Pardo Millán. Written in Spanish.

Based on previous work elaborated by David
Nualart and Ivan
Nourdin.

Bachelor thesis.

A. Jaramillo. Invariant manifolds and finite dimensional realizations.

Supervisor Daniel
Hernández. Written in Spanish.

Based on previous work elaborated by Tomas Bjork.

Here is a list of my recent talks

OrganizationDatePresentationXIII Simposio de Probabilidad, UNAM. December 4, 2017 Eigenvalue collision Ergodic properties of Markov chains course. KU November 21, 2017 Transport Inequalities Combinatorics seminar, KU. April 14, 2017 Cumulants and moments for products of free random variables Probability seminar, KU March 15, 2017 Empirical spectral distribution of Gaussian matrix processes

GSO seminar, KU Spring 2017 A geometric view of interest rate theory

Free Probability seminar, CIMAT. January 12, 2017 Divisibilidad infinita libre, teoremas de convergencia Algebraic combinatorics course, KU. December 14, 2016 Non crossing partitions in free probability

Combinatorics seminar, KU. November 11, 2016 Relations between cumulants in non commutative probability GSO seminar, KU. Fall 2016 The five natural notions of independence

You
can find here
a webpage devoted to the Malliavin-Stein approach maintained by
Ivan Nourdin.

Université du Luxembourg

2, avenue de l'université, L-4365 Esch-sur-Alzette

Office: Maisson du Nombre E05 0515-12

Phone: (+352) 46 66 44 6594

Fax: (+352) 46 66 44 36594

University email: arturo.jaramillogil@uni.lu

Preferred email: jagil.159@gmail.com

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