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Let Q be an acyclic quiver and s be a sequence s with elements in the vertex set Q_0. We describe a sequence of simple (backward) tilting in the bounded derived category D(Q), starting from the standa...
If K is a knot or link in R3 and S  R3 is a smoothly embedded 2-sphere meeting K transversely in 4-points, then one can form a new knot or link K′ as follows. One cuts R3 along S and then glues the t...
We study ‘silting mutaion’ for self-injective algebras. In particular we focus ontilting mutationand show that iterated irreducible ‘silting mutation’ transitively act on the set of silting objec...
The interplay between mutation and selection plays a fundamental role in the behaviour of evolutionary algorithms (EAs). However, this inter-play is still not completely understood.
Mutation of skew-symmetrizable matrices is a fundamental oper-ation that first arised in Fomin-Zelevinsky’s theory of cluster algebras; it also appears naturally in many different areas of mathematics...
We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d. lifetime durations, which are not necessarily exponentially distributed, and each individual gives birth inde...
We present a graded mutation rule for quivers of clustertilted algebras. Furthermore, we give a technique to recover a clustertilting object from its graded quiver in the cluster category of cohX.
We define tilting mutations of symmetric algebras as the endomorphism algebras of Okuyama-Rickard complexes. For Brauer tree algebras, we give an explicit description of the change of Brauer trees un...
We consider a class of map, recently derived in the context of cluster mutation. In this paper we start with a brief review of the quiver context, but then move onto a discussion of a related Poisson ...
A new evolutionary programming algorithm (NEP) using the non-uniform mutation operator instead of Gaussian or Cauchy mutation operators is proposed. NEP has the merits of \long jumps" of the Cauchy mu...

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