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Antti Knowles

47 papers hereh-index 314k citations69 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author7
  • middle author20
  • last author19

Across the 46 of 47 papers where every author was matched, so the position is known.

fields
  • math.PR32
  • math-ph13
  • cs.IT1
  • math.AG1

identity via Semantic Scholar / OpenAlex

activity
20052026
most citedSpectral Statistics of Erd{\H o}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

238 citations · 1.5k across the 41 of their papers we have counts for

collaborators
Showing 2008 · math-phShow all

2 papers · 2 filters

math-ph2008★ 2 cited

A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction

Juerg Froehlich, Antti Knowles

We study the dynamics of a Fermi gas with a Coulomb interaction potential, and show that, in a mean-field limiting regime, the dynamics is described by the Hartree-Fock equation. T…

math-ph2008★ 158 cited

On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction

Juerg Froehlich, Antti Knowles, Simon Schwarz

In the mean-field limit the dynamics of a quantum Bose gas is described by a Hartree equation. We present a simple method for proving the convergence of the microscopic quantum dyn…

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