Alberto Sánchez‐Alzola

Universidad de Cádiz

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Antonio J. Gil

Universidad de Jaén

M.J. Borque

Universidad de Jaén

Pedro Alfaro

University of Alicante

Jesús Galindo‐Zaldívar

Instituto Andaluz de Ciencias de la Tierra

Manuel Avilés

Universidad de Jaén

Patricia Ruano

Instituto Andaluz de Ciencias de la Tierra

Francisco Javier García‐Pacheco

Universidad de Cádiz

M. C. de Lacy

Universidad San Pablo CEU

Soledad Moreno-Pulido

Universidad de Cádiz

Iván Martı́n-Rojas

University of Alicante

Cooperative Institutions

Universidad de Cádiz

Universidad de Granada

Universidad de Jaén

Consejo Superior de Investigaciones Científicas

Instituto Andaluz de Ciencias de la Tierra

University of Alicante

Universidad Complutense de Madrid

Universitat de Barcelona

Instituto Geológico y Minero de España

Instituto Volcanológico de Canarias

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GPS deformation rates in the Bajo Segura Basin (NE of the Eastern Betic Shear Zone, SE Spain)

EGUGA (2014)

M.J. Borque Alberto Sánchez‐Alzola Antonio Estévez Francisco Juan García-Tortosa Iván Martı́n-Rojas

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The Campo de Dalias GNSS Network Unveils the Interaction between Roll-Back and Indentation Tectonics in the Gibraltar Arc

Sensors (2022)

Jesús Galindo‐Zaldívar Antonio J. Gil Víctor Tendero‐Salmerón M.J. Borque Gemma Ercilla

The Gibraltar Arc includes the Betic and Rif Cordilleras surrounding the Alboran Sea; it is formed at the northwest-southeast Eurasia-Nubia convergent plate boundary in the westernmost Mediterranean. Since 2006, the Campo de Dalias GNSS network has monitored active tectonic deformation of the most seismically active area on the north coast of the Alboran Sea. Our results show that the residual deformation rates with respect to Eurasia range from 1.7 to 3.0 mm/year; roughly homogenous west-southwestward displacements of the northern sites occur, while the southern sites evidence irregular displacements towards the west and northwest. This deformation pattern supports simultaneous east-northeast-west-southwest extension, accommodated by normal and oblique faults, and north-northwest-south-southeast shortening that develops east-northeast-west-southwest folds. Moreover, the GNSS results point to dextral creep of the main northwest-southeast Balanegra Fault. These GNNS results thus reveal, for the first time, present-day interaction of the roll-back tectonics of the Rif-Gibraltar-Betic slab in the western part of the Gibraltar Arc with the indentation tectonics affecting the eastern and southern areas, providing new insights for improving tectonic models of arcuate orogens.

10.3390/s22062128

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Citations (10)

Geodetic Research on Deception Island and its Environment (South Shetland Islands, Bransfield Sea and Antarctic Peninsula) During Spanish Antarctic Campaigns (1987–2007)

Springer eBooks (2008)

Manuel Berrocoso A. Fernández-Ros M. E. Ramírez José Manuel Enríquez de Salamanca Cristina Torrecillas

Shetland

Peninsula

10.1007/978-3-540-74882-3_6

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Citations (22)

Non-Linear Inner Structure of Topological Vector Spaces

Mathematics (2021)

Francisco Javier García‐Pacheco Soledad Moreno-Pulido Enrique Naranjo-Guerra Alberto Sánchez‐Alzola

Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to characterize the finest locally convex vector topology on a real vector space. This manuscript goes one step further by settling the bases for studying the inner structure of non-convex sets. In first place, we observe that the well behaviour of the extremal structure of convex sets with respect to the inner structure does not transport to non-convex sets in the following sense: it has been already proved that if a face of a convex set intersects the inner points, then the face is the whole convex set; however, in the non-convex setting, we find an example of a non-convex set with a proper extremal subset that intersects the inner points. On the opposite, we prove that if a extremal subset of a non-necessarily convex set intersects the affine internal points, then the extremal subset coincides with the whole set. On the other hand, it was proved in the inner structure literature that isomorphisms of vector spaces and translations preserve the sets of inner points and outer points. In this manuscript, we show that in general, affine maps and convex maps do not preserve inner points. Finally, by making use of the inner structure, we find a simple proof of the fact that a convex and absorbing set is a neighborhood of 0 in the finest locally convex vector topology. In fact, we show that in a convex set with internal points, the subset of its inner points coincides with the subset of its internal points, which also coincides with its interior with respect to the finest locally convex vector topology.

Absolutely convex set

Choquet theory

10.3390/math9050466

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Exact solutions to max∥x∥=1∑i=1∞∥

Communications in Nonlinear Science and Numerical Simulation (2019)

Francisco Javier García‐Pacheco Clemente Cobos Sánchez Soledad Moreno-Pulido Alberto Sánchez‐Alzola

10.1016/j.cnsns.2019.105054

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Citations (14)

Diseño, desarrollo, objetivos y estado actual de las redes geodésicas establecidas en la Antártida durante las campañas antárticas españolas

M. Berrocoso María Elena Hernández Ramírez A. Fernández-Ros Cristina Torrecillas José Manuel Enríquez-Salamanca

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Present strain partitioning in SE Spain. Insights from CGNSS data

Iván Martı́n-Rojas Alberto Sánchez‐Alzola Iván Medina‐Cascales M.J. Borque Pedro Alfaro

SE Iberia Tectonics is presently dominated by the NNW-SSE convergence between the Eurasian and Nubian plates. Farther east, the eastern Spanish coast and the Valencia Trough are dominated by ENE-WSW extension related to thermal subsidence. This extension has been interpreted as the final stage of abort rift responsible for the ENE motion of the Balearic promontory. Our data from 11 CGNSS stations permit us to discuss the deformation partitioning in SE Iberia related to the two abovementioned processes.We identify three kinematic domains: a relatively stable domain, a domain moving towards NNW and undergoing NNW-SSE shortening, and a third domain relatively moving towards ENE and experiencing ENE-WSW extension. Our results indicate that plate convergence-related NNW-SSE shortening is mainly absorbed by the Eastern Betic Shear Zone (EBSZ), in agreement with previous studies, but also show that a significant fraction of this shortening is accommodated south of the EBSZ.We also identify and quantify for the first time ENE-WSW extension northeast of the EBSZ. We propose that this extension could be absorbed by basement normal faults whose surface expression is obscured due to decoupling of deformation between the basement and the cover. Our results shed light on the tectonic puzzle of SE Spain.

10.5194/egusphere-egu22-5227

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Scattering images from autocorrelation functions of P-wave seismic velocity images: the case of Tenerife Island (Canary Islands, Spain)

Bulletin of Volcanology (2018)

Araceli García‐Yeguas Alberto Sánchez‐Alzola Luca De Siena Janire Prudencio Alejandro Díaz‐Moreno

P wave

10.1007/s00445-018-1205-5

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Revisiting the minimum-norm problem

Journal of Inequalities and Applications (2022)

Soledad Moreno-Pulido Alberto Sánchez‐Alzola Francisco Javier García‐Pacheco

Abstract The design of optimal Magnetic Resonance Imaging (MRI) coils is modeled as a minimum-norm problem (MNP), that is, as an optimization problem of the form $\min_{x\in\mathcal{R}}\|x\|$ min x ∈ R ∥ x ∥ , where $\mathcal{R}$ R is a closed and convex subset of a normed space X . This manuscript is aimed at revisiting MNPs from the perspective of Functional Analysis, Operator Theory, and Banach Space Geometry in order to provide an analytic solution to the following MRI problem: $\min_{\psi\in\mathcal{R}}\|\psi\|_{2}$ min ψ ∈ R ∥ ψ ∥ 2 , where $\mathcal{R}:=\{\psi\in \mathbb{R}^{n}:\frac{\|A\psi-b\|_{\infty}}{\|b\|_{\infty}} \leq D\}$ R : = { ψ ∈ R n : ∥ A ψ − b ∥ ∞ ∥ b ∥ ∞ ≤ D } , with $A\in\mathcal{M}_{m\times n}(\mathbb{R})$ A ∈ M m × n ( R ) , $D>0$ D > 0 , and $b\in\mathbb{R}^{m}\setminus\{0\}$ b ∈ R m ∖ { 0 } .

10.1186/s13660-022-02757-5

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Citations (4)

Dataset for Active shortening simultaneous to normal faulting based on GNSS, geophysical and geological data: The seismogenic Ventas de Zafarraya Fault (Betic Cordillera). Tectonics

Zenodo (CERN European Organization for Nuclear Research) (2023)

Asier Madarieta‐Txurruka Lourdes González‐Castillo José A. Peláez Jesús Galindo‐Zaldívar M.J. Borque

Dataset for "Active shortening simultaneous to normal faulting based on GNSS, geophysical and geological data: The seismogenic Ventas de Zafarraya Fault (Betic Cordillera)" TectonicsFile "hypoDD_10_300.reloc.txt" compile all the relocated seismicity in the study area.Files "810_.NEU, 811_.NEU, 812_.NEU, 813_.NEU, 814_.NEU, 815_.NEU, and 816_.NEU" presents the time series data of GNSS sites of the Zafarraya network.

Normal fault

10.5281/zenodo.10423744

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Citations (1)