Search Results - "Solna, Knut"
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Making sense of scattering: Seeing microstructure through shear waves
Published in Science advances (02-08-2024)“…The physics of shear waves traveling through matter carries fundamental insights into its structure, for instance, quantifying stiffness for disease…”
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Option pricing under fast‐varying long‐memory stochastic volatility
Published in Mathematical finance (01-01-2019)“…Recent empirical studies suggest that the volatility of an underlying price process may have correlations that decay slowly under certain market conditions. In…”
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3
Option pricing under fast-varying and rough stochastic volatility
Published in Annals of finance (01-11-2018)“…Recent empirical studies suggest that the volatilities associated with financial time series exhibit short-range correlations. This entails that the volatility…”
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4
Fourth-Moment Analysis for Wave Propagation in the White-Noise Paraxial Regime
Published in Archive for rational mechanics and analysis (01-04-2016)“…In this paper we consider the Itô–Schrödinger model for wave propagation in random media in the paraxial regime. We solve the equation for the fourth-order…”
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5
Chaos and order in the bitcoin market
Published in Physica A (15-06-2019)“…The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel…”
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NONINVASIVE IMAGING THROUGH RANDOM MEDIA
Published in SIAM journal on applied mathematics (01-01-2018)“…When waves propagate through a strongly scattering medium the energy is transferred to the incoherent wave part by scattering. The wave intensity then forms a…”
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FOCUSING WAVES THROUGH A RANDOMLY SCATTERING MEDIUM IN THE WHITE-NOISE PARAXIAL REGIME
Published in SIAM journal on applied mathematics (01-01-2017)“…When waves propagate through a complex or heterogeneous medium the wave field is corrupted by the heterogeneities. Such corruption limits the performance of…”
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8
System of radiative transfer equations for coupled surface and body waves
Published in Zeitschrift für angewandte Mathematik und Physik (01-10-2022)“…We obtain and analyze a system of radiative transfer equations associated with surface and body waves. The system accounts for a boundary along which surface…”
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9
Emergence of turbulent epochs in oil prices
Published in Chaos, solitons and fractals (01-05-2019)“…•A novel algorithm is presented for estimation of multi-fractals.•The robustness of the algorithm is illustrated with both synthetic and real data.•The…”
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10
IMAGING SCHEMES FOR PERFECTLY CONDUCTING CRACKS
Published in SIAM journal on applied mathematics (01-01-2011)“…We consider the problem of locating perfectly conducting cracks and estimating their geometric features from multistatic response matrix measurements at a…”
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Implied Volatility Structure in Turbulent and Long-Memory Markets
Published in Frontiers in applied mathematics and statistics (29-04-2020)“…We consider fractional stochastic volatility models that extend the classic Black–Scholesmodel for asset prices. The models are general and motivatedby recent…”
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12
Resolution and stability analysis in full-aperture, linearized conductivity and wave imaging
Published in Proceedings of the American Mathematical Society (01-10-2013)“…In this paper we consider resolution estimates in both the linearized conductivity problem and the wave imaging problem. Our purpose is to provide explicit…”
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13
Scintillation in the White-Noise Paraxial Regime
Published in Communications in partial differential equations (03-04-2014)“…In this paper the white-noise paraxial wave model is considered. This model describes for instance the propagation of laser beams in the atmosphere in some…”
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14
Coupled Paraxial Wave Equations in Random Media in the White-Noise Regime
Published in The Annals of applied probability (01-02-2009)“…In this paper the reflection and transmission of waves by a three-dimensional random medium are studied in a white-noise and paraxial regime. The limit system…”
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15
A GENERAL FRAMEWORK FOR WAVES IN RANDOM MEDIA WITH LONG-RANGE CORRELATIONS
Published in The Annals of applied probability (01-02-2011)“…We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in [19] and leads, in…”
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16
Fourth-moment analysis for beam propagation in the white-noise paraxial regime
Published in Archive for rational mechanics and analysis (01-01-2016)Get full text
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17
Effective fractional acoustic wave equations in one-dimensional random multiscale media
Published in The Journal of the Acoustical Society of America (2010)“…This paper considers multiple scattering of waves propagating in a non-lossy one-dimensional random medium with short- or long-range correlations. Using…”
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18
A statistical approach to target detection and localization in the presence of noise
Published in Waves in random and complex media (01-02-2012)“…The problem addressed in this paper is the combined detection and localization of a point reflector embedded in a medium by sensor array imaging when the array…”
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19
Three l1 Based Nonconvex Methods in Constructing Sparse Mean Reverting Portfolios
Published in Journal of scientific computing (01-05-2018)“…We study the problem of constructing sparse and fast mean reverting portfolios. The problem is motivated by convergence trading and formulated as a generalized…”
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Three $$l_1$$ Based Nonconvex Methods in Constructing Sparse Mean Reverting Portfolios
Published in Journal of scientific computing (01-05-2018)Get full text
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