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The Special Issue (SI) “Recent Advances in GPR Imaging” offers an up-to-date overview of state-of-the-art research activities dealing with the development of Ground Penetrating Radar (GPR) technology and its recent advances in imaging in the different fields of application. In fact, the advances experimented with over the last few decades with regard to the appearance of new GPR systems and the need to manage large amounts of data suggest an increasing interest in the development of new signal processing algorithms and modeling, as well as in the use of three-dimensional (3D) imaging techniques.

Ground Penetrating Radar --- n/a --- 3D visualization --- digital elevation model (DEM) --- empirical mode decomposition --- ground penetrating radar (GPR) --- GPR --- doline --- terrestrial laser scanning --- GPR data processing --- cave sediments --- distributive analysis --- clutter --- test site --- GPR imaging --- karst --- backscattering --- quarry --- railways --- Kranjsko polje --- marble --- unroofed caves --- X-ray fluorescence (XRF) --- track geometry --- X-ray diffraction (XRD) --- non-destructive testing --- toGPRi --- time-frequency analysis --- near-surface geophysics --- scattering modelling --- archaeology --- morphometrical analysis --- IMF-slices --- electromagnetic propagation in nonhomogeneous media --- infrared thermography --- network level evaluation --- land cultivation --- signal frequency analysis --- LiDAR --- time-domain analysis --- conglomerate --- railway events --- ground-penetrating radar --- ground penetrating radar --- variational mode decomposition --- spectral domain --- electrical resistivity imaging

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This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.

Research & information: general --- Mathematics & science --- Krasnosel’skiĭ’s fixed point theorem --- positive solutions --- discontinuous differential equations --- differential system --- p-Laplacian --- choquard equation --- nonhomogeneous --- nehari method --- minimax methods --- essential maps --- homotopy --- selections --- PID controller --- sliding mode control --- hybrid Taguchi real coded DNA algorithm --- perturbation estimator --- ℳ?-function --- ℳ?(λ)-function --- τ-function --- essential distance (e-distance) --- e0-metric --- Du-Hung’s fixed point theorem --- Mizoguchi-Takahashi’s fixed point theorem --- Nadler’s fixed point theorem --- Banach contraction principle --- minimax --- multiplicity --- global minima --- Brouwer fixed point theorem --- Hamadard theorem --- Poincaré–miranda theorem --- nonlinear elliptic problem --- Robin boundary condition --- gradient dependence --- sub-supersolution --- positive solution --- periodic solutions --- SEIR-KS model --- computer virus model --- n/a --- Krasnosel'skiĭ's fixed point theorem --- Du-Hung's fixed point theorem --- Mizoguchi-Takahashi's fixed point theorem --- Nadler's fixed point theorem --- Poincaré-miranda theorem

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Stochastic processes have wide relevance in mathematics both for theoretical aspects and for their numerous real-world applications in various domains. They represent a very active research field which is attracting the growing interest of scientists from a range of disciplines.This Special Issue aims to present a collection of current contributions concerning various topics related to stochastic processes and their applications. In particular, the focus here is on applications of stochastic processes as models of dynamic phenomena in research areas certain to be of interest, such as economics, statistical physics, queuing theory, biology, theoretical neurobiology, and reliability theory. Various contributions dealing with theoretical issues on stochastic processes are also included.

arithmetic progressions --- weighted quadratic variation --- fractional differential-difference equations --- small deviations --- periodic intensity functions --- realized volatility --- rate of convergence --- host-parasite interaction --- first Chebyshev function --- regularly varying functions --- Cohen and Grossberg neural networks --- mixture of Gaussian laws --- diffusion model --- transition densities --- re-service --- Strang–Marchuk splitting approach --- random delays --- nematode infection --- first-passage-time --- total variation distance --- forecast combinations --- products of primes --- discrete time stochastic model --- multiplicative noises --- slowly varying functions --- growth curves --- stochastic process --- loan interest rate regulation --- birth-death process --- non-Markovian queue --- catastrophes --- exogenous factors --- seasonal environment --- repairs --- proportional hazard rates --- structural breaks --- transient probabilities --- first passage time (FPT) --- bounds --- double-ended queues --- mixed Gaussian process --- stochastic order --- time between inspections --- busy period --- diffusion --- continuous-time Markov chains --- general bulk service --- time-non-homogeneous birth-death processes --- stand-by server --- reliability --- sensor networks --- random impulses --- scale family of distributions --- maximum likelihood estimation --- multi-state network --- totally positive of order 2 --- lognormal diffusion process --- fractional birth-death processes --- exact asymptotics --- stochastic orders --- time-non-homogeneous jump-diffusion processes --- asymptotic distribution --- inverse first-passage problem --- nonhomogeneous Poisson process --- two-dimensional signature --- multiple vacation --- first-passage time --- mean square stability --- fractional queues --- differential entropy --- random parameter matrices --- Wasserstein distance --- breakdown and repair --- fusion estimation