Modelling of El Berrocal field tracer tests
Humm, J
Guimera, J
Grindrod, P
Crompton, S
High Level Radioactive Waste Management - Proceedings of the Annual International Conference
114-116
(01 Jan 1996)
A geometric approach to fingering instabilities for reaction fronts in fully coupled geochemical systems
CROMPTON, S
GRINDROD, P
IMA Journal of Applied Mathematics
volume 57
issue 1
29-40
(01 Aug 1996)
The identification of inference rules from fuzzy data: the application of a quantitative model of perception
GRINDROD, P
PENNEY, M
WATERS, D
IMA Journal of Management Mathematics
volume 8
issue 4
291-303
(01 Apr 1997)
Colloid migration in symmetrical non-uniform fractures: particle tracking in three dimensions
Grindrod, P
Lee, A
Journal of Contaminant Hydrology
volume 27
issue 3-4
157-175
(Sep 1997)
Modelling silicitation of a clay buffer subject to opposing temperature and hydration gradients
Grindrod, P
Takase, H
Wood, G
Engineering Geology
volume 54
issue 1-2
215-222
(Sep 1999)
Mechanical interaction between swelling compacted clay and fractured rock, and the leaching of clay colloids
Grindrod, P
Peletier, M
Takase, H
Engineering Geology
volume 54
issue 1-2
159-165
(Sep 1999)
A Capillary Network Model for Gas Migration in Low-Permeability Media
Takase, H
Worgan, K
Impey, M
Grindrod, P
SIAM Journal on Applied Mathematics
volume 57
issue 3
597-608
(26 Jun 1997)
A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow
Zimmerman, D
de Marsily, G
Gotway, C
Marietta, M
Axness, C
Beauheim, R
Bras, R
Carrera, J
Dagan, G
Davies, P
Gallegos, D
Galli, A
Gómez‐Hernández, J
Grindrod, P
Gutjahr, A
Kitanidis, P
Lavenue, A
McLaughlin, D
Neuman, S
RamaRao, B
Ravenne, C
Rubin, Y
Water Resources Research
volume 34
issue 6
1373-1413
(Jun 1998)
Application of fractals to soil properties, landscape patterns, and solute transport in porous media
Crawford, J
Baveye, P
Grindrod, P
Rappoldt, C
Geophysical Monograph Series
151-164
(1999)
Thu, 18 Jan 2024
16:00
16:00
Lecture Room 4, Mathematical Institute
Traces of random matrices over F_q, and short character sums
Ofir Gorodetsky
(University of Oxford)
Abstract
Let g be a matrix chosen uniformly at random from the GL_n(F_q), where F_q is the field with q elements. We consider two questions:
1. For fixed k and growing n, how fast does Tr(g^k) converge to the uniform distribution on F_q?
2. How large can k be taken, as a function of n, while still ensuring that Tr(g^k) converges to the uniform distribution on F_q?
We will answer these two questions (as well as various variants) optimally. The questions turn out to be strongly related to the study of particular character sums in function fields.
Based on joint works with Brad Rodgers (arXiv:1909.03666) and Valeriya Kovaleva (arXiv:2307.01344).