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Macroscopic descriptions of follower-leader systems
(2021)
Article
Open AccessThe fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective ... -
Motility switching and front–back synchronisation in polarised cells
(2022-06)
Article
Open AccessThe combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This syn- chronisation, in turn, could lead ... -
Cosmology intertwined: a review of the particle physics, astrophysics, and cosmology associated with the cosmological tensions and anomalies
(2022-06)
Article
Open AccessThe standard Λ Cold Dark Matter (ΛCDM) cosmological model provides a good description of a wide range of astrophysical and cosmological data. However, there are a few big open questions that make the standard model look ... -
Topics in cosmology — clearly explained by means of simple examples
(2022-03)
Article
Open AccessThis is a very comprehensible review of some key issues in modern cosmology. Simple mathematical examples and analogies are used, whenever available. The starting point is the well-known Big Bang cosmology (BBC). We deal ... -
Understanding gravitational particle production in quintessential inflation
(2019-06-01)
Article
Open AccessThe diagonalization method, introduced by a group of Russian scientists at the beginning of seventies, is used to compute the energy density of superheavy massive particles produced due to a sudden phase transition from ... -
A review of quintessential inflation
(2021-12)
Article
Open AccessSome of the most important quintessential inflation scenarios, such as the Peebles–Vilenkin model, are described in detail. These models are able to explain the early- and late-time accelerated expansions of our universe, ... -
Pointwise monotonicity of heat kernels
(Springer, 2021-12-13)
Article
Open AccessIn this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and ... -
Quintessential inflation and cosmological seesaw mechanism: reheating and observational constraints
(2021-07)
Article
Open AccessRecently a new kind of quintessential inflation coming from the Lorentzian distribution has been introduced in [1,2]. The model leads to a very simple potential, which basically depends on two parameters, belonging to the ... -
Discrepancy of minimal riesz energy points
(Springer Nature, 2021-04-08)
Article
Open AccessWe find upper bounds for the spherical cap discrepancy of the set of minimizers of the Riesz s-energy on the sphere Sd. Our results are based on bounds for a Sobolev discrepancy introduced by Thomas Wolff in an unpublished ... -
a-attractors in quintessential inflation motivated by supergravity
(American Physical Society, 2021-06-15)
Article
Open AccessAn exponential kind of quintessential inflation potential motivated by supergravity is studied. This type belongs to the class of a-attractor models. The model was studied for the first time by Dimopoulos and Owen in [J. ... -
Theoretical and observational bounds on some interacting vacuum energy scenarios
(American Physical Society, 2021-04-15)
Article
Open AccessThe dynamics of interacting dark matter-dark energy models is characterized through an interaction rate function quantifying the energy flow between these dark sectors. In most of the interaction functions, the expansion ... -
Near-sphere lattices with constant nonlocal mean curvature
(2018-04)
Article
Open AccessWe are concerned with unbounded sets of RN whose boundary has constant nonlocal (or fractional) mean curvature, which we call CNMC sets. This is the equation associated to critical points of the fractional perimeter ...
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