Emanuele Bottazzi

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All published works

Action	Title	Year	Authors
+	Erratum to “Infinitesimals via Cauchy sequences: Refining the classical equivalence”	2024	Emanuele Bottazzi Mikhail G. Katz
+	Corrigendum to “Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations” [Adv. Math. 345 (2019) 429–482]	2023	Emanuele Bottazzi
+	Flexible involutive meadows	2023	Bruno Dinis Emanuele Bottazzi
+ PDF Chat	Integration with filters	2022	Emanuele Bottazzi Monroe Eskew
+	Examples and counterexamples regarding hyperfinite representations of real distributions	2022	Emanuele Bottazzi
+ PDF Chat	A Real-Valued Measure on non-Archimedean Field Extensions of $$\mathbb{R}$$	2022	Emanuele Bottazzi
+	An Incompatibility Result on non-Archimedean Integration	2021	Emanuele Bottazzi
+ PDF Chat	Describing limits of integrable functions as grid functions of nonstandard analysis	2021	Emanuele Bottazzi
+	Describing limits of integrable functions as grid functions of nonstandard analysis	2021	Emanuele Bottazzi
+ PDF Chat	Infinitesimals via Cauchy sequences: Refining the classical equivalence	2021	Emanuele Bottazzi Mikhail G. Katz
+	Describing limits of integrable functions as grid functions of nonstandard analysis	2021	Emanuele Bottazzi
+ PDF Chat	Internality, transfer, and infinitesimal modeling of infinite processes†	2020	Emanuele Bottazzi Mikhail G. Katz
+	A grid function formulation of a class of ill-posed parabolic equations	2020	Emanuele Bottazzi
+ PDF Chat	Infinite Lotteries, Spinners, Applicability of Hyperreals†	2020	Emanuele Bottazzi Mikhail G. Katz
+	Spaces of measurable functions on the Levi-Civita field	2020	Emanuele Bottazzi
+	Integration with filters	2020	Emanuele Bottazzi Monroe Eskew
+	A real-valued measure on non-Archimedean field extensions of $\mathbb{R}$	2020	Emanuele Bottazzi
+	Integration with filters	2020	Emanuele Bottazzi Monroe Eskew
+	Homomorphisms between rings with infinitesimals and infinitesimal comparisons	2019	Emanuele Bottazzi
+	Spaces of measurable functions on the the Levi-Civita field	2019	Emanuele Bottazzi
+	On mathematical realism and applicability of hyperreals	2019	Emanuele Bottazzi Vladimir Kanovei Mikhail G. Katz Thomas Mormann David Sherry
+	Homomorphisms Between Rings with Infinitesimals and Infinitesimal Comparisons	2019	Emanuele Bottazzi
+	Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations	2019	Emanuele Bottazzi
+	Spaces of measurable functions on the the Levi-Civita field	2019	Emanuele Bottazzi
+	Homomorphisms Between Rings with Infinitesimals and Infinitesimal Comparisons	2019	Emanuele Bottazzi
+	A Transfer Principle for the Continuations of Real Functions to the Levi-Civita Field	2018	Emanuele Bottazzi
+	Nonstandard Models in Measure Theory and in functional Analysis	2017	Emanuele Bottazzi
+ PDF Chat	10.4115/jla.v6i0.212	2016	Vieri Benci Emanuele Bottazzi Mauro Di Nasso
+ PDF Chat	Some applications of numerosities in measure theory	2015	Vieri Benci Emanuele Bottazzi Mauro Di Nasso
+	Some applications of numerosities in measure theory	2014	Vieri Benci Emanuele Bottazzi Mauro Di Nasso
+	Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow	2014	Tiziana Bascelli Emanuele Bottazzi Frederik Herzberg Vladimir Kanovei Karin U. Katz Mikhail G. Katz Tahl Nowik David Sherry Steven Shnider
+	Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow	2014	Tiziana Bascelli Emanuele Bottazzi Frederik Herzberg Vladimir Kanovei Karin U. Katz Mikhail G. Katz Tahl Nowik David Sherry Steven Shnider
+ PDF Chat	Elementary numerosity and measures	2014	Vieri Benci Emanuele Bottazzi Mauro Di Nasso
+	Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow	2014	Tiziana Bascelli Emanuele Bottazzi Frederik Herzberg Vladimir Kanovei Karin U. Katz Mikhail G. Katz Tahl Nowik David D. Sherry Steven Shnider
+	Some applications of numerosities in measure theory	2014	Vieri Benci Emanuele Bottazzi Mauro Di Nasso
+	Elementary numerosity and measures	2012	Vieri Benci Emanuele Bottazzi Mauro Di Nasso

Common Coauthors

Coauthor	Papers Together
Mikhail G. Katz	8
Mauro Di Nasso	6
Vieri Benci	6
Vladimir Kanovei	4
Karin U. Katz	3
Frederik Herzberg	3
David Sherry	3
Tiziana Bascelli	3
Steven Shnider	3
Monroe Eskew	3
Tahl Nowik	3
David D. Sherry	1
Thomas Mormann	1
Bruno Dinis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Grid functions of nonstandard analysis in the theory of distributions and in partial differential equations	2019	Emanuele Bottazzi	12
+	Lectures on the hyperreals : an introduction to nonstandard analysis	1998	Robert Goldblatt	9
+	Non-standard analysis	1966	Abraham Robinson	8
+	New results on integration on the Levi-Civita field	2012	Khodr Shamseddine	8
+	A grid function formulation of a class of ill-posed parabolic equations	2020	Emanuele Bottazzi	7
+	Infinitesimal methods in control theory: Deterministic and stochastic	1986	Nigel J. Cutland	7
+	Integration on the Surreals: a Conjecture of Conway, Kruskal and Norton	2015	Ovidiu Costin Philip Ehrlich Harvey Friedman	6
+	Lectures on the Hyperreals	1998	Robert Goldblatt	6
+ PDF Chat	Ultrafunctions and Generalized Solutions	2013	Vieri Benci	6
+ PDF Chat	Measure theory and integration on the Levi-Civita field	2003	Khodr Shamseddine Martin Berz	6
+ PDF Chat	10.4115/jla.v6i0.212	2016	Vieri Benci Emanuele Bottazzi Mauro Di Nasso	6
+ PDF Chat	Conversion from nonstandard to standard measure spaces and applications in probability theory	1975	Peter A. Loeb	5
+	Nonstandard analysis : theory and applications	1997	Leif Arkeryd Nigel J. Cutland C. Ward Henson	5
+	Nonstandard Methods in Stochastic Analysis and Mathematical Physics	1986	Sergio Albeverio	5
+ PDF Chat	Non-Archimedean Probability	2012	Vieri Benci Leon Horsten Sylvia Wenmackers	5
+	A Transfer Principle for the Continuations of Real Functions to the Levi-Civita Field	2018	Emanuele Bottazzi	5
+	Spaces of measurable functions on the Levi-Civita field	2020	Emanuele Bottazzi	5
+	Applied Nonstandard Analysis	1977	Martin Davis	5
+ PDF Chat	Analysis on the Levi-Civita field, a brief overview	2010	Khodr Shamseddine Martin Berz	5
+	Non-nonstandard analysis:Real infinitesimals	1999	Jim Henle	5
+	Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow	2014	Tiziana Bascelli Emanuele Bottazzi Frederik Herzberg Vladimir Kanovei Karin U. Katz Mikhail G. Katz Tahl Nowik David Sherry Steven Shnider	5
+	On mathematical realism and applicability of hyperreals	2019	Emanuele Bottazzi Vladimir Kanovei Mikhail G. Katz Thomas Mormann David Sherry	5
+	On a class of equations with variable parabolicity direction	2008	Flavia Smarrazzo	4
+	Nonstandard Analysis, Axiomatically	2004	Vladimir Kanovei Michael Reeken	4
+	Nonstandard representations of distributions. I	1988	Moto-o Kinoshita	4
+ PDF Chat	Full algebra of generalized functions and non-standard asymptotic analysis	2008	Тодор Д. Тодоров Hans Vernaeve	4
+	Radically Elementary Probability Theory.	1987	Edward Nelson	4
+	Numerosities of labelled sets: a new way of counting	2003	Vieri Benci Mauro Di Nasso	4
+	A version of the fundamental theorem for young measures	2005	J. M. Ball	4
+ PDF Chat	On the nonstandard representation of measures	1972	C. Ward Henson	4
+	Integration on surreal numbers	2004	Antongiulio Fornasiero	4
+ PDF Chat	An embedding of Schwartz distributions in the algebra of asymptotic functions	1997	Michael Oberguggenberger Todor Todorov	4
+ PDF Chat	Analytical properties of power series on Levi-Civita fields	2005	Khodr Shamseddine Martin Berz	4
+ PDF Chat	A non-standard representation for Brownian Motion and Itô integration	1976	Robert M. Anderson	4
+	Ultrafunctions and applications	2014	Vieri Benci Lorenzo Luperi Baglini	4
+ PDF Chat	Numerosities of point sets over the real line	2010	Mauro Di Nasso Marco Forti	4
+	Elementary Calculus: An Infinitesimal Approach	1976	H. Jerome Keisler	4
+	Evolution of stable phases in forward-backward parabolic equations	2019	Corrado Mascia Andrea Terracina Alberto Tesei	4
+	On Integrable Delta Functions on the Levi-Civita Field	2018	Darren Flynn Khodr Shamseddine	4
+ PDF Chat	Dynamics of measured valued solutions to a backward-forward heat equation	1991	Marshall Slemrod	4
+	Nonstandard representations of distributions. II	1990	Moto-o Kinoshita	4
+ PDF Chat	Nonstandard measure theory–Hausdorff measure	1977	Frank Wattenberg	4
+	Hyperfinite representation of distributions	2000	Joaquim Sousa Pinto R.F. Hoskins	4
+ PDF Chat	A non-archimedean algebra and the Schwartz impossibility theorem	2014	Vieri Benci Lorenzo Luperi Baglini	4
+ PDF Chat	Infinitesimal Probabilities	2016	Vieri Benci Leon Horsten Sylvia Wenmackers	4
+ PDF Chat	Internal set theory: A new approach to nonstandard analysis	1977	Edward Nelson	4
+	On the relation between elementary partial difference equations and partial differential equations	1998	Imme van den Berg	4
+	Nonstandard Measure Theory and its Applications	1983	Nigel J. Cutland	3
+	Applications of nonstandard analysis to partial differential equations—I. the diffusion equation	1986	Feng Hanqiao Donald F. St. Mary Frank Wattenberg	3
+	On the solutions of linear ordinary differential equations and Bessel-type special functions on the Levi-Civita field	2015	Alpár R. Mészáros K. Shamseddine	3