Browsing Mathematics by Title
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Fox Derivatives: a Unique Connection Between Group Presentations and the Integral Group Ring
(20181219)We give a criterion to determine whether generators can be removed from a finite presentation via Tietze transformations. We prove that for a generator in a presentation <XR> to be removable, there must exist a word in ... 
A Fractional Diffusion Equation for an nDimensional Correlated Levy Walk
(20160706)Levy walks define a fundamental concept in random walk theory which allows one to model diffusive spreading that is faster than Brownian motion. They have many applications across different disciplines. However, so far the ... 
Full and fast calibration of the Heston stochastic volatility model
This paper presents an algorithm for a complete and e cient calibration of the Heston stochastic volatility model. We express the calibration as a nonlinear leastsquares problem. We exploit a suitable representation of ... 
Functional clones and expressibility of partition functions
(20170729) 
Functional limit theorems for the Bouchaud trap model with slowly varying traps
(Elsevier, 20141219)We consider the Bouchaud trap model on the integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is a functional limit theorem for the model under the annealed law, analogous ... 
Fundamental groups of clique complexes of random graphs
(20150415) 
Galois stratification and ACFA
(201505) 
A generalisation of core partitions
(201409) 
Generalised Apery numbers modulo 9
(201502) 
Generalised noncommutative geometry on finite groups and Hopf quivers
We explore the differential geometry of finite sets where the differential structure is given by a quiver rather than as more usual by a graph. In the finite group case we show that the data for such a differential calculus ... 
Geometric rigidity for sequences of $$ W^{2,2}$$ conformal immersions
(Springer Nature, 201403) 
Geometry and topology of random 2complexes
(201509)