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Impulsive prepotent actions and tics in Tourette disorder underpinned by a common neural network.
Tourette disorder (TD), which is characterized by motor and vocal tics, is not in general considered as a product of impulsivity, despite a frequent association with attention deficit hyperactivity disorder and impulse control...
The sooner the better
Reward sensitivity has been suggested as one of the central pathophysiological mechanisms in Tourette disorder. However, the subjective valuation of a reward by introduction of delay has received little attention in Tourette...
Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processes
Our main result is to prove almost-sure convergence of a stochasticapproximation algorithm defined on the space of measures on a noncompact space. Our motivation is to apply this result to measure-valued Pólya processes (MVPPs...
Doctoral Education, Pedagogy, and Autoethnography
This special issue of the Morning Watch brings together papers written for a doctoral course in the Faculty of Education.  As facilitators of ED 702A/B Advanced Research Methodology in Education, a core course in the Faculty of...
Emerging researcher pedagogies
This special edition of the Morning Watch is the second collection of papers from the Faculty of Education doctoral students who are participating in ED 702 A/B Advanced Research Methodology in Education in 2017/18.  ED 702 is a...
And/or trees
We present here a new and universal approach for the study of random and/or trees, unifying in one framework many different models, including some novel ones not yet understood in the literature. An and/or tree is a Boolean...
Emerging researcher pedagogies
This special edition of the Morning Watch is the second collection of papers from the Faculty of Education doctoral students who are participating in ED 702 A/B Advanced Research Methodology in Education in 2017/18.  ED 702 is a...
Condensation and symmetry-breaking in the zero-range process with weak site disorder
Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in which particle interactions enforce condensation in a randomly...
Strict monotonic trees arising from evolutionary processes
In this paper we study two models of labelled random trees that generalise the original unlabelled Schröder tree. Our new models can be seen as models for phylogenetic trees in which nodes represent species and labels encode the...
Random walks with preferential relocations and fading memory
Consider a stochastic process that behaves as a d-dimensional simple and symmetric random walk, except that, with a certain fixed probability, at each step, it chooses instead to jump to a given site with probability...
Random walks with preferential relocations and fading memory
Consider a stochastic process that behaves as a d-dimensional simple and symmetric random walk, except that, with a certain fixed probability, at each step, it chooses instead to jump to a given site with probability...
Unbiased on lattice domain growth
Domain growth is a key process in many areas of biology, including embryonic development, the growth of tissue, and limb regeneration. As a result, mechanisms for incorporating it into traditional models for cell movement...
Dynamical models for random simplicial complexes
We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula generalises results for a number of existing models, including random...
Multiple drawing multi-colour urns by stochastic approximation

A classical Pólya urn scheme is a Markov process where the evolution is encoded by a replacement matrix (Ri, j)1 ≤ i, j ≤ d. At every discrete time-step, we draw a ball uniformly at random, denote its colour c, and replace it...

Competing growth processes with random growth rates and random birth times

Comparing individual contributions in a strongly interacting system of stochastic growth processes can be a very difficult problem. This is particularly the case when new growth processes are initiated depending on the state...

Doctoral Education, Pedagogy, and Autoethnography
This special issue of the Morning Watch brings together papers written for a doctoral course in the Faculty of Education.  As facilitators of ED 702A/B Advanced Research Methodology in Education, a core course in the Faculty of...
Stochastic approximation on non-compact measure spaces and application to measure-valued Pólya processes
Our main result is to prove almost-sure convergence of a stochasticapproximation algorithm defined on the space of measures on a noncompact space. Our motivation is to apply this result to measure-valued Pólya processes (MVPPs...
And/or trees
We present here a new and universal approach for the study of random and/or trees, unifying in one framework many different models, including some novel ones not yet understood in the literature. An and/or tree is a Boolean...
The trace-reinforced ants process does not find shortest paths

In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) from their nest to a food source, represented here by two vertices of a finite graph. In this model, the ants...

Characterising random partitions by random colouring
Let (X1, X2, …) be a random partition of the unit interval [0, 1], i.e. Xi ≥ 0 and ∑i≥1 Xi = 1, and let (ε1, ε2, …) be i.i.d. Bernoulli random variables of parameter p ϵ (0, 1). The Bernoulli convolution of the partition is the...
Condensation and symmetry-breaking in the zero-range process with weak site disorder
Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in which particle interactions enforce condensation in a randomly...
Dynamical models for random simplicial complexes
We study a general model of random dynamical simplicial complexes and derive a formula for the asymptotic degree distribution. This asymptotic formula generalises results for a number of existing models, including random...
The trace-reinforced ants process does not find shortest paths

In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) from their nest to a food source, represented here by two vertices of a finite graph. In this model, the ants...

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