King's Analysis Seminar

The King's College London Analysis seminar

The KCL analysis seminar is dedicated to all fields of mathematical analysis, from nonlinear PDEs to spectral theory, from probabilty theory to geometric analysis. It takes place on Thursdays at 11AM, KCL Strand Building, Room S5.20. If you want to be added to the mailing list contact one of the organisers: Jean Lagacé or Felipe Marceca (in either case, firstname.surname@kcl.ac.uk).

Next presentation: May 2nd, Víctor Navarro-Fernández (Imperial)

Title: Mixing and fast dynamo with random ABC flows

Abstract: In this work we consider a time-periodic and random version of the ABC flow. We are concerned with two main subjects. On the one hand, we study the mixing problem of a passive tracer in the three-dimensional torus by the action of the random ABC vector field. On the other hand, we investigate the effect of the ABC flow on the growth of a magnetic field described by the kinematic dynamo equations. To deal with these questions we analyse the ABC flow as a random dynamical system and examine the ergodic properties of its associated one-point, two-point, and projective Markov chains, as well as its top Lyapunov exponent. This work settles that the random ABC vector field is an example of a space-time smooth universal exponential mixer in the three dimensions, and in addition, we obtain that it is an ideal kinematic fast dynamo. This is a joint work with Michele Coti Zelati (Imperial College London).

List of talks --- Summer 2024

• April 25th: 

  • Speaker: Purba Das (KCL)

  • Title: Invariance of Stochastic Integral

• May 2nd: 

  • Speaker: Víctor Navarro-Fernández (Imperial)

  • Title: Mixing and fast dynamo with random ABC flows

• May 9th:

  • Speaker: Rocío Nores (University of Buenos Aires)

  • Title: TBA

• May 16th:

  • Speaker: Alex Bergman (Lund University)

  • Title: Invariant subspaces of generalized differentiation and Volterra operators

• May 23rd:

  • Speaker: Cillian Doherty (Cambridge)

  • Title: TBA

• May 30th:

  • Speaker: Dmitri Panov (KCL)

  • Title: TBA

• June 6th:

  • Speaker: Ghazaleh Asghari Khonakdari (Reading)

  • Title: TBA

• June 13th:

  • Speaker: Donnell Obovu (UCL)

  • Title: TBA

• June 20th:

  • Speaker: Natalya Vaysfeld (KCL)

  • Title: TBA

List of talks --- Winter 2024

• January 18th: 

  • Speaker: Jared White (KCL)

  • Title: Weak*-closed ideals of dual Banach algebras on groups

• January 25th: 

  • Speaker: Zsuzsanna Baran (Cambridge)

  • Title:  Phase transition for random walks on graphs with added weighted random matching

• February 1st:

  • Speaker: Yury Dyukarev (KCL)

  • Title:  The Nevanlinna Formula for the Pick Interpolation Problem

• February 8th:

  • Speaker: Kobe Marshall-Stevens (UCL)

  • Title:  On isolated singularities and generic regularity of min-max CMC hypersurfaces

• February 15th:

  • Speaker: Joaquín Singer (University of Buenos Aires)

  • Title:  Hadwiger's problem for convex bodies with enough sub-gaussian marginals

• February 22nd:

  • Speaker:  Abhay Jindal (IISc, Bangalore)

  • Title: Invariants associated with complete Nevanlinna-Pick spaces

• February 29th:

  • Speaker: Elena Boguslavskaya (Brunel University London)

  • Title: Fractional order stochastic integral -  is it possible?

• March 7th:

  • Speaker: Megan Griffin-Pickering (UCL)

  • Title: The Vlasov-Poisson system for ions: stability and the quasineutral limit

• March 14th: 

  • Speaker: Robert Simon (LSE)

  • Title: Paradoxical Decompositions and Colouring Rules

• March 21st: 

  • Speaker: Alix Deleporte (Université Paris-Saclay, Orsay)

  • Title: Perspectives on the Widom conjecture

List of talks --- Autumn 2023

• October 12th: 

  • Speaker: Shubham Gupta (Imperial)

  • Title: Symmetrization inequalities on graphs

• October 19th:

  • Speaker: Stephen Lynch (Imperial)

  • Title: Plateau's problem via the theory of phase transitions

• October 26th:

  • Speaker: Eugene Shargorodsky (King's)

  • Title: Sharp estimates for conditionally centred moments and for compact operators on Lp  spaces

• November 2nd:

  • No talk. See OPSFOTA meeting.

• November 9th:

  • Speaker: Amélie Loher (Cambridge)

  • Title: Existence results for the Landau equation

• November 16th:

  • Speaker: Svetlana Malysheva (Queen Mary)

  • Title:  Spectral properties of random matrices with heavy-tailed entries

• November 23rd:

  • Speaker: Michael Levitin (Reading)

  • Title: New methods and results in two old problems

• November 30th:

  • Speaker: Dave Smith (Yale-NUS College)

  • Title: Fokas Diagonalization

• December 7th:

  • Speaker:  Esther Bou Dagher (Imperial)

  • Title: Exponential inequalities in probability spaces revisited

List of talks --- Winter 2023

• January 19th: 

  • Speaker: Naz Miheisi (KCL)

  • Title: 

• January 26th: 

  • Speaker: Matthew Jenssen (KCL)

  • Title: 

• February 2nd:

  • Speaker: Hamed Mousavi (KCL)

  • Title: 

• February 9th:

  • Speaker: Cancelled

  • Title: 

• February 16th:

  • Speaker: Cancelled

  • Title: 

• February 23rd:

  • Speaker: Cancelled

  • Title: 

• March 2nd:

  • Speaker: Natalie Evans

  • Title: Correlations of almost primes

• March 9th:

  • Speaker: Lashi Bandara

  • Title: 

• March 16th: --- No talk today

  • Speaker: 

  • Title: 

• March 23rd:

  • Speaker: Felipe Marceca

  • Title: Perfect freezing and discrepancy estimates for Gaussian beta ensembles at the microscopic scale.

List of talks --- Autumn 2022

• October 6th: 

  • Speaker: Igor Wigman (KCL)

  • Title: The Robin problem on rectangles

• October 13th: 

  • Speaker: Sasha Pushnitski (KCL)

  • Title: Unbounded Hankel Operators

• October 20th:

  • Speaker: Aled Walker (KCL)

  • Title: Higher order Fourier analysis, and linear inequalities

• October 27th:

  • Speaker: Jean Lagacé (KCL)

  • Title: Statistics of cut-and-project sets via lattice point counting

• November 3rd: 

  • Speaker: Benjamin Doyon (KCL)

  • Title: Rigorous results in quantum statistical mechanics and hydrodynamics using operator algebras and Hilbert spaces

• November 10th: 

  • Speaker: Zoe Wyatt (KCL)

  • Title: The initial value problem in general relativity

• November 17th: 

  • Speaker: Ben Krause (KCL)

  • Title: Pointwise ergodic theory: examples and entropy

• November 24th: 

  • Speaker: Steve Lester (KCL)

  • Title: Spacing statistics for lattice points on circles

• December 1st:

  • Speaker: Karl-Mikael Perfekt (NTNU, Norway)

  • Title: Hankel operators on Paley -- Wiener spaces in two dimensions

• December 8th: 

  • Speaker: Giuseppe Tinaglia (KCL)

  • Title: TBC