Publications

  1. Jacob, N., Bray, L. Some Considerations on the Structure of Transition Densities of Symmetric Levy Processes Communications in Stochastic Analysis 10 4 405 420
  2. Jacob, N., Evans, K., Morris, O. On a class of pseudo-differential operators on R^n x Z^m generating Feller semigroups Revue Roumaine de Mathematiques Pures et Appliquees 59 55 75
  3. Jacob, N., Wang, Y., Yuan, C. Stochastic differential delay equations with jumps, under nonlinear growth condition Stochastics An International Journal of Probability and Stochastic Processes 81 6 571 588
  4. Jacob, N., Wang, Y., Yuan, C. Numerical Solutions of Stochastic Differential Delay Equations with Jumps Stochastic Analysis and Applications 27 4 825 853
  5. Farkas, W., Jacob, N. Sobolev Spaces on Non Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions Mathematische Nachrichten 224 1 75 104

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Teaching

  • MA-381 Functional Analysis

    An introduction to Functional Analysis

  • MA-M81 Functional Analysis

    An introduction to Functional Analysis

  • MA-M83 Operator Semigroups

    This module is an introduction to the theory of operator semigroups and their application to PDEs and stochastic processes. It requires a basic knowledge of functional analysis.

Supervision

  • Topics on Transient Dirichlet Forms: Fundamental Solutions, Potential Kernels and Metric Measure Spaces (current)

    Student name:
    PhD
    Other supervisor: Dr Andrew Neate
  • Topics on Hamiltonian Dynamics Related to symbols of certain Schrodinger operators associated with generators of Levy processes. (awarded 2018)

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

    Student name:
    MRes
    Other supervisor: Prof Eugene Lytvynov