Professor Eugene Lytvynov
Professor
Mathematics
Telephone: (01792) 602156
Room: Office - 200
Second Floor
Talbot Building
Singleton Campus

Areas of Expertise

  • Interacting particle systems
  • Stochastic dynamics
  • Infinite dimensional analysis
  • Random measures
  • Noncommutative probability

Publications

  1. & Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis. Journal of Mathematical Analysis and Applications
  2. (2019). Representations of the Anyon Commutation Relations. Presented at Geometric Methods in Physics XXXVI,-327. doi:10.1007/978-3-030-01156-7_33
  3. & An infinite dimensional umbral calculus. Journal of Functional Analysis 276(12), 3714-3766.
  4. & Construction of solutions to parabolic and hyperbolic initial–boundary value problems. Applicable Analysis, 1-33.
  5. & Approximation of a free Poisson process by systems of freely independent particles. Infinite Dimensional Analysis, Quantum Probability and Related Topics 21(3), 1850020-1-1850020-25.

See more...

Teaching

  • MA-252 Probability

    An introduction to fundamental probabilistic concepts and methods such as probability spaces, expectation and variance of random variables, independence, law of large numbers.

  • MARM02 Stochastic Processes (MRes Thesis)

    A research project selected from an area of expertise of a member of staff in the Department of Mathematics. It will enable the students to develop an enquiring, analytical critical and creative approach to problem identification and solution. The project will typically focus on a subject area covered within one of the taught modules in the MRes scheme.

Supervision

  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Dmitri Finkelshtein
  • (tentative) Space-time correlations for interacting particle systems (current)

    Student name:
    PhD
    Other supervisor: Dr Dmitri Finkelshtein
  • Stochastic Volatility Models: Heston and Bates models (current)

    Student name:
    MRes
    Other supervisor: Prof Chenggui Yuan
  • Particle density of the CAR algebra and particle- hole duality in continuum (awarded 2019)

    Student name:
    PhD
    Other supervisor: Prof Jiang-Lun Wu
  • ''Transition Densities of certain Levy Processes and Related Metric Measure Spaces.'' (awarded 2017)

    Student name:
    MRes
    Other supervisor: Prof Niels Jacob