232 research outputs found
Fractional Schrödinger Equation With Riesz-feller Derivative For Delta Potentials
No full textConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)The fractional Schrödinger equation with the Riesz-Feller derivative is discussed and solved when the potential involves delta functions. Some results in the literature are generalized. © 2016 Author(s).5712CNPq, Conselho Nacional de Desenvolvimento Científico e TecnológicoConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq
Elliptic boundary value problems and construction of Lp-strong feller processes with singular drift and reflection
No full textBenedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finite particle systems with singular interaction. Emphasize is placed on the handling of singular drift coefficients, as well as on the discussion of pointwise and pathwise properties of the constructed processes rather than just the quasi-everywhere properties commonly known from the general Dirichlet form theory. Contents Construction of Lp-Strong Feller Processes Elliptic Boundary Value Problems Skorokhod Decomposition for Reflected Diffusions with Singular Drift Particle Systems with singular interaction Target Groups Graduate and PhD students, researchers of Mathematics in the field (Functional) Analysis, Stochastics, Partial Differential Equations and Mathematical Physics The Author Benedict Baur has done his doctor’s degree at the University of Kaiserslautern in topics on Stochastics and Functional Analysis.
Zentrale Eregbnisse der in den sechs Arbeitsmarktregionen durchegführten Unternehmehmensbefragung
No full textIm Rahmen der Diskussionsveranstaltung zum Projekt "Gleichwertige Lebensverhältnisse", an der Akteure aus Wirtschaft, Verwaltung und Wissenschaft teilgenommen haben, wurden die zentralen Ergebnisse der Unternehmensbefragung, die in den sechs Untersuchungsregionen durchgeführt wurde, vorgestellt.
Im Mittelpunkt der Befragung stand die Untersuchung der Stärken und Schwächen der Arbeitsmarktregionen, die Nutzung des Förderangebots sowie die Netzwerkaktivitäten der Unternehmen.
Die Veranstaltung diente dazu, die bisher gewonnenen Projektergebnisse vorzustellen und mit den Akteuren aus den jeweiligen Untersuchungsregionen zu diskutieren
Problems relating to the conservation of the painting “Malampija” by Eugen Feller
No full textDjela moderne i suvremene umjetnosti postavljaju nove zahtjeve pred restauratore. Svako ugroženo djelo suvremene umjetnosti traži potpuno nov pristup i nove tehnike u restauratorskoj praksi. Na primjeru slike Malampija Eugena Fellera ukratko su prikazana etička načela koja se primjenjuju u zaštiti suvremene umjetnosti i detaljno su opisani izvedeni konzervatorsko-restauratorski radovi. Uz podatke prikupljene tehničkim analizama materijala, od izuzetne važnosti bile su i informacije prikupljene od samog autora. Priložen je, stoga, i razgovor sa slikarom Eugenom Fellerom koji je autorica vodila prije početka radova na slici.Works of modern and contemporary art put new demands before restorers and restoration practice. Every piece of contemporary art that has been jeopardized calls for a new approach and new restoration techniques. The paper uses the painting Malampija by Eugen Feller as an example and briefly presents the ethical principles applied in the protection of contemporary art, and describes in detail the conservation-restoration interventions the painting was subjected to.
It has been shown that information collected from authors and their collaborators plays a very significant role in the protection of works of contemporary art. For this reason, attached to the paper is an interview that the author conducted with the painter before the restoration. The contact with Feller provided additional knowledge of the artist’s concept of the creation of Malampija, as well as his thoughts about the ageing of his work. During the interview, the author provided information on materials used and the painting technique applied, which was useful from the point of view of selection of technical analyses for material identification. The conservation-restoration works, while the respected the principle of minimal intervention reconstructions of damaged and missing parts of the painting were made in line with the requirements of contemporary conservation ethics. Partial reconstructions were made only in those places in which the damage jeopardized the painting’s stability. Damage and cracks that were integral parts of the painting’s creation and life cycle were not reconstructed
Book Review: Étienne Anheim, Laurent Feller, Madeleine Jeay and Giuliano Milani (eds), Le Pouvoir des Listes au Moyen Âge – II. Listes d’objets/ listes de personnes. Paris: Éditions de la Sorbonne, 2020. Pp. 320. EURO 22
No full textThis document is the Author Accepted version of a published work that appeared in final form in [Speculum: A Journal of Medieval Studies]. To access the final edited and published work see https://doi.org/10.1086/731084A book review of Étienne Anheim, Laurent Feller, Madeleine Jeay and Giuliano Milani (eds), Le Pouvoir des Listes au Moyen Âge – II. Listes d’objets/ listes de personnes. Paris: Éditions de la Sorbonne, 2020. Pp. 320. EURO 22.Unfunde
Abstract CT103: A phase II study to evaluate outpatient magnetic resonance image-guided laser focal therapy for prostate cancer: A 20-year survival study (seven-year interim results)
No full textAbstract
Purpose: In the United States alone, new prostate cancer cases for 2016 were estimated at 180,890 and deaths at 26,120. Focal therapies for low risk and intermediate risk localized prostate cancer are increasingly being explored. Additionally, new treatments for patients with biochemical recurrence of prostate cancer are also under investigation. Our objective is to investigate the safety and feasibility of using outpatient MR-guided laser focal therapy for MR visible prostate cancer utilizing a transrectal approach for laser applicator placement and therapy delivery in an outpatient setting.
Method and Materials: All MRI-guided therapy was delivered using a 1.5 Tesla MRI system for both image acquisition and real-time thermometry. Commercially available hardware and software were used for image analysis and interventional planning. Laser therapy was delivered using a 15W, 980 nm diode laser applicator with fiber-cooling catheter introduced transrectally using a commercially available MRI-compatible introducer system.
Results: 80 men were treated. 112 cancer foci were treated. Total procedure time was between 1.5 and four hours MRI volume of coagulation necrosis ranged from 0.57 to 22.93 cc. No serious adverse events or morbidity were reported. 17 treatment regions were positive at six months biopsy, consistent with residual or recurrent cancer 26% of subjects 18% of treated regions.We observed a 40% decrease in mean PSA at 1 year post therapy and no statistically significant change in IPSS and SHIM scores at 6 months post-treatment.
Conclusion: Our data indicate that outpatient, transrectally delivered MRI-guided laser focal therapy for prostate cancer is both safe and feasible.
Clinical Relevance/Application: In the current climate of cost-reduction and emphasis on minimally-invasive treatment of cancer, focal treatment of prostate cancer may be an attractive option. The precise energy delivery under MRI-guidance may have favorable results for cost control and quality of life without eliminating the possibility of whole-gland treatment in the patient’s future.
Citation Format: Bernadette Marie Greenwood, John F. Feller, Stuart T. May, Wes Jones, Axel Winkel. A phase II study to evaluate outpatient magnetic resonance image-guided laser focal therapy for prostate cancer: A 20-year survival study (seven-year interim results) [abstract]. In: Proceedings of the American Association for Cancer Research Annual Meeting 2017; 2017 Apr 1-5; Washington, DC. Philadelphia (PA): AACR; Cancer Res 2017;77(13 Suppl):Abstract nr CT103. doi:10.1158/1538-7445.AM2017-CT103</jats:p
Performance Analysis of ALOHA Framework under Limited Access of Data Transmission for Active RFID System
No full textAbstractThe data collision of multiple tags to access the channel is one of the most problems in active Radio Frequency Identification (RFID). The technique of random tag is based on William Feller equation by considering the successful probability (Psuc) may affect to increase the data collision if the tag is not limited the privilege. This paper proposes the modification of William Feller equation by dividing the privilege of tags into several groups. The results show that our scheme can provide the better performances as comparing with William Feller equation in term of successful probability. The maximum average of successful probability is more than 0.97
Correction to: The relative risk of second primary cancers in Switzerland: a population-based retrospective cohort study
No full textFollowing publication of the original article: Feller A, Matthes KL, Bordoni A, et al. The relative risk of second primary cancers in Switzerland: a population-based retrospective cohort study. BMC Cancer. 2020;20:51. doi: 10.1186/s12885-019-6452-0.
An error was reported in the author group
Harnack-Ungleichungen und Anwendungen auf stochastische Gleichungen
No full textOuyang S-X. Harnack inequalities and applications for stochastic equations. Bielefeld (Germany): Bielefeld University; 2009.In dieser Dissertation studieren wir hauptsächlich Wangs Harnack-Ungleichungen und ihre Anwendungen auf Übergangshalbgruppen, die zu stochastischen Gleichungen gehören.
Wir betrachten endlich-dimensionale stochastische (gewöhnliche) Differentialgleichungen mit irregulärem Drift, unendlich-dimensionale (semi-)lineare stochastische partielle Differentialgleichungen mit Gauß'schem oder Lévy-Rauschen, mehrwertige stochastische Differentialgleichungen in endlich-dimensionalen Räumen und mehrwertige stochastische Evolutionsgleichungen in Banach-Räumen.
Die Anwendungen der Harnack-Ungleichungen beinhalten das Studium von Regularisierungs-Eigenschaften wie der starken Feller-Eigenschaft, Wärmeleitungskern-Abschätzungen und Hyper-Beschränktheit usw. für die Übergangshalbgruppen.
Die wichtigste benutzte Methode, um Harnack-Ungleichungen zu erhalten, ist die Transformation von Maßen, genauer Bildmaß-Transformationen und die Girsanov-Transformation (zusammen mit einem Kopplungsargument). Die letztere Methode wurde von Arnaudon et al. in 2006 eingeführt.
Mithilfe einfacher Bildmaß-Transformationen zeigen wir eine optimale Harnack-Ungleichung für die Gauß'sche Ornstein-Uhlenbeck-Halbgruppe. Dies ist eine Verbesserung der von Röckner und Wang in 2003 erhaltenen Harnack-Ungleichung. Darüber hinaus zeigen wir, dass diese Ungleichung äquivalent zur starken Feller-Eigenschaft der Gauß'schen Ornstein-Uhlenbeck-Halbgruppe ist.
Durch Koppeln und die Girsanov-Transformation erhalten wir eine Harnack-Ungleichung für Ornstein-Uhlenbeck-Prozesse mit Lévy-Rauschen. Der Drift in der Girsanov-Transformation ist eine Null-Kontrolle eines linearen Systems. Durch Optimierung über alle Null-Kontrollen erhalten wir eine Harnack-Ungleichung, die die gleiche Form hat wie die für Ornstein-Uhlenbeck-Prozesse mit Gauß'schem Rauschen. Diese Harnack-Ungleichung verallgemeinert und verbessert die von Röckner und Wang in 2003 erhaltene.
Mit der gleichen Methode und der Wahl geeigneter Drifts erhalten wir auch Harnack-Ungleichungen für andere stochastische Gleichungen.
Wichtige Aspekte der Methode von Arnaudon et al. sind absolute Stetigkeit und das erfolgreiche Koppeln von Prozessen. Wir behandeln diese Themen in zwei Kapiteln der Arbeit.
Wir zeigen ein Girsanov-Theorem für Lévy-Prozesse in unendlich-dimensionalen Räumen. Des weiteren untersuchen wir die absolute Stetigkeit von Lévy-Prozessen. Dieser Teil ist eine unendlich-dimensionale Version der Vorlesungen von Sato über Dichte-Transformationen von Lévy-Prozessen in 2000.
Wir zeigen ein Klebe-Lemma, dass das Martingalproblem für die Summe zweier durch Stoppzeiten getrennter Operatoren löst. Es ist eine Verallgemeinerung eines Lemmas von Chen und Li, 1989. Wir wenden dieses Resultat an, um die Existenz einer schwachen Lösung der gekoppelten Gleichung zu erhalten.
Für mehrwertige stochastische Evolutionsgleichungen untersuchen wir auch die Konzentrationseigenschaft der invarianten Maße. Diese Eigenschaft verallgemeinert die von Zhang in 2007 untersuchte.
Des weiteren untersuchen wir Entropie-Kosten- und HWI-Ungleichungen für Ornstein-Uhlenbeck-Prozesse mit Gauß'schem Rauschen.In this thesis, we mainly study Wang's Harnack inequalities and their applications for the transition semigroups associated with stochastic equations.
Among the stochastic equations, we consider finite dimensional stochastic differential equations with irregular drifts; infinite dimensional (semi-)linear stochastic partial differential equations with Gaussian or Lévy noise; multivalued stochastic differential equations in finite dimension and multivalued stochastic evolution equations in Banach spaces.
The applications of Harnack inequalities include the study of regularizing properties like strong Feller property, heat kernel estimates and hyperboundedness etc. for the transition semigroups.
The main method we used to establish Harnack inequalities is measure transformation. There are two aspects: image measure transformation and Girsanov transformation (combined with a coupling argument). The latter method was introduced by Arnaudon et al. in 2006.
By simple image measure transformation (e.g. use the Cameron-Martin formula in Gaussian case), we prove an optimal Harnack inequality for the Gaussian Ornstein-Uhlenbeck semigroup. This is an improvement of the Harnack inequality obtained by Röckner and Wang in 2003. Moreover, we prove that this inequality is equivalent with the strong Feller property of the Gaussian Ornstein-Uhlenbeck semigroup.
By coupling and Girsanov transformation we obtain a Harnack inequality for Lévy driven Ornstein-Uhlenbeck processes. The drift in the Girsanov transformation is a null control of some linear system. By optimizing over all null controls, we obtain a Harnack inequality which is of the same form as the Harnack inequality for Ornstein-Uhlenbeck processes driven by Wiener processes. This Harnack inequality also generalizes and improves the one obtained by Röckner and Wang in 2003.
By using the same procedure and taking proper drifts, we also establish Harnack inequalities for other stochastic equations.
Two crucial ingredients of the method of Arnaudon et al. are the absolute continuity and successful coupling of processes. We also devote two chapters on these topics.
We prove a Girsanov theorem for Lévy processes in infinite dimensional spaces. Moreover, we studied the absolute continuity of Lévy processes. This part is an infinite dimensional version of the results in the lecture notes of Sato on density transformation of Lévy processes in 2000.
We observed a gluing lemma which solves the martingale problem for the sum of two operators separated by some stopping time. It is a generalization of a lemma stated by Chen and Li in 1989. We apply this result for the existence of the weak solution for coupled equations. This makes it possible for us to establish Harnack inequality for stochastic differential equations with weak solutions.
For multivalued stochastic evolution equations, we also studied the concentration property of the invariant measures. This property generalizes the one studied by Zhang in 2007.
As a complement, we also study entropy cost and HWI inequalities for Ornstein-Uhlenbeck processes driven by Wiener processes
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