Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at some critical rewiring. We study the robustness of these transitions under two distinct ways of introducing noise. Noise affecting all the nodes destroys the ab...

Recent observational results suggest that our universe is nearly flat and well modelled within a ΛCDM framework. The observed values of Ωm and ΩΛ inevitably involve uncertainties. Motivated by this, we make a systematic study of the necessary and sufficient conditions for undetectability as well as detectability (in principle) of cosmic topology (using pattern repetition) in presence of such un...

Recent observational results suggest that our universe is nearly flat and well modelled within a ΛCDM framework. The observed values of Ωm and ΩΛ inevitably involve uncertainties. Motivated by this, we make a systematic study of the necessary and sufficient conditions for undetectability as well as detectability (in principle) of cosmic topology (using pattern repetition) in presence of such un...

Competitive intransitivity occurs when species' competitive abilities cannot be listed in a strict hierarchy, but rather form competitive loops, as in the game 'Rock-Paper-Scissors'. Indices are useful for summarizing intransitivity in communities; however, as with most indices, a great deal of information is compressed into single number. So while recent ecological theory, experiments, and nat...

In this paper, we examine John Tate’s seminal work calculating functional equations for zeta functions over a number field k. Tate examines both ‘local’ properties of k, completed with respect to a given norm, and ‘global’ properties. The global theory examines the idele and adele groups of k as a way of encoding information from all of the completions of k into single structures, each with its...

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have been analyzed using low complexity analytical formalisms, revealing nevertheless some novel dynamical features. However, current methods have failed to reproduc...

We distinguish three prevalent spatial data types, defined by the topology of the entity to which the recorded information refers. These are point, lines and area. Features having a specific location, but without extent in any direction are considered as points. A pair of coordinates represents a point. Village locations, industrial locations, cities etc. are the examples of the point data. Lin...