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most citedAutomated polyp detection in colon capsule endoscopy

306 citations

Showing 2016Show all

29 papers · 1 filter

math.AT2016★ 20 cited

Topological Complexity of the Klein bottle

Daniel C. Cohen, Lucile Vandembroucq

We show that the (normalized) topological complexity of the Klein bottle is . We also show that, for any , . This completes the recent work by Dranishnikov o…

math.CT2016

On some categorical-algebraic conditions in S-protomodular categories

Nelson Martins-Ferreira, Andrea Montoli, Manuela Sobral

In the context of protomodular categories, several additional conditions have been considered in order to obtain a closer group-like behavior. Among them are locally algebraic cart…

math.GR2016

A note on the finite basis and finite rank properties for pseudovarieties of semigroups

J. Almeida, M. H. Shahzamanian

The finite basis property is often connected with the finite rank property, which it entails. Many examples have been produced of finite rank varieties which are not finitely based…

math.DS2016★ 4 cited

On the conservative pasting lemma

Pedro Teixeira

Several perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. The p…

math.PR2016★ 10 cited

Barrier Option Pricing under the 2-Hypergeometric Stochastic Volatility Model

Rúben Sousa, Ana Bela Cruzeiro, Manuel Guerra

We investigate the pricing of financial options under the 2-hypergeometric stochastic volatility model. This is an analytically tractable model that reproduces the volatility smile…

math.RA2016★ 81 cited

Characterizations and representations of core and dual core inverses

Jianlong Chen, Huihui Zhu, Pedro Patricio +1

In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are…

math.NA2016★ 6 cited

Stability of a leap-frog discontinuous Galerkin method for time-domain Maxwell's equations in anisotropic materials

Adérito Araújo, Sílvia Barbeiro, Maryam Khaksar Ghalati

In this work we discuss the numerical discretization of the time-dependent Maxwell's equations using a fully explicit leap-frog type discontinuous Galerkin method. We present a suf…

physics.flu-dyn2016★ 3 cited

Combined role of molecular diffusion, mean streaming and helicity in the eddy diffusivity of short-correlated random flows

Marco Martins Afonso, Andrea Mazzino, Sílvio Gama

We analytically investigate the effective-diffusivity tensor of a tracer particle in a fluid flow endowed with a short correlation time. By means of functional calculus and a multi…

math.GR2016★ 2 cited

Reducibility versus definability for pseudovarieties of semigroups

J. Almeida, O. Klíma

It is easy to show that a pseudovariety which is reducible with respect to an implicit signature for the equation can also be defined by -identities. We present severa…

math.RA2016

Centralizer's applications to the inverse along an element

Huihui Zhu, Jianlong Chen, Pedro Patricio +1

In this paper, we first prove that the absorption law for one-sided inverses along an element holds, deriving the absorption law for the inverse along an element. We then apply thi…

math.DS2016★ 18 cited

Extreme Value Laws for dynamical systems with countable extremal sets

Davide Azevedo, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1

We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of th…

gr-qc2016

New conserved currents for vacuum space-times in dimension four with a Killing vector

Alfonso García-Parrado Gómez-Lobo

A new family of conserved currents for vacuum space-times with a Killing vector is presented. The currents are constructed from the superenergy tensor of the Mars-Simon tensor and…

math.CT2016★ 12 cited

Two characterisations of groups amongst monoids

Andrea Montoli, Diana Rodelo, Tim Van der Linden

The aim of this paper is to solve a problem proposed by Dominique Bourn: to provide a categorical-algebraic characterisation of groups amongst monoids and of rings amongst semiring…

math.DS2016★ 38 cited

On Takens' Last Problem: tangencies and time averages near heteroclinic networks

Isabel S. Labouriau, Alexandre A. P. Rodrigues

We obtain a structurally stable family of smooth ordinary differential equations exhibiting heteroclinic tangencies for a dense subset of parameters. We use this to find vector fie…

math.DS2016★ 191 cited

Extremes and Recurrence in Dynamical Systems

Valerio Lucarini, Davide Faranda, Ana Cristina Moreira Freitas +6

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. The introduction provides a broad overview of the interdiscipli…

math.DS2016

Global Saddles for Planar Maps

Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau

We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a glob…

gr-qc2016★ 21 cited

Relative information entropy in cosmology: The problem of information entanglement

Viktor G. Czinner, Filipe C. Mena

The necessary information to distinguish a local inhomogeneous mass density field from its spatial average on a compact domain of the universe can be measured by relative informati…

math.DS2016★ 1 cited

On statistical properties for equilibrium states of partially hyperbolic horseshoes

Vanessa Ramos, Jaqueline Siqueira

We derive some statistical properties for equilibrium states of partially hyperbolic horseshoes. We define a projection map associated to the horseshoe and prove a spectral gap for…

math.GR2016★ 1 cited

The semaphore codes attached to a Turing machine via resets and their various limits

John Rhodes, Anne Schilling, Pedro V. Silva

We introduce semaphore codes associated to a Turing machine via resets. Semaphore codes provide an approximation theory for resets. In this paper we generalize the set-up of our pr…

math.AP2016★ 8 cited

On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing

V. B. Surya Prasath, D. Vorotnikov

Variable exponent spaces have found interesting applications in real world problems. Recently, there have been considerable interest in utilizing variational and evolution problems…

math.CT2016★ 1 cited

What is an ideal a zero-class of?

N. Martins-Ferreira, A. Montoli, A. Ursini +1

We characterise, in pointed regular categories, the ideals as the zero-classes of surjective relations. Moreover, we study a variation of the "Smith is Huq" condition: two surjecti…

gr-qc2016★ 12 cited

Vacuum type D initial data

Alfonso García-Parrado Gómez-Lobo

A vacuum type D initial data set is a vacuum initial data set of the Einstein field equations whose data development contains a region where the space-time is of Petrov type D. In…

cs.LO2016★ 9 cited

A Coinductive Approach to Proof Search through Typed Lambda-Calculi

José Espírito Santo, Ralph Matthes, Luís Pinto

In reductive proof search, proofs are naturally generalized by solutions, comprising all possibly infinite structures generated by locally correct, bottom-up application of inferen…

math.AG2016★ 5 cited

Birationality of moduli spaces of twisted -Higgs bundles

Peter B. Gothen, Azizeh Nozad

A -Higgs bundle on a Riemann surface (twisted by a line bundle) consists of a pair of holomorphic vector bundles, together with a pair of (twisted) maps between th…