Alex Grossmann Explained

Alexander Grossmann (5 August 1930 – 12 February 2019) was a French-American physicist of Croatian origin.

Career

He travelled to the United States in 1955, working in the physics departments of the Institute for Advanced Study (IAS), Princeton, Brandeis University, and the Courant Institute, NYU, then again at the IAS ^[1] until 1963.

After one year at the Institut des Hautes Études Scientifiques (IHES) in Bures-sur-Yvette, France, he joined the "Centre de Physique Théorique de Marseille" (the CPT) as it was being created in 1966, at the request of Daniel Kastler. He then becomes research supervisor at the CNRS.^[2]

At the Université de la Méditerranée Aix-Marseille II in Luminy campus he did pioneering work on wavelet analysis with Jean Morlet in 1984.^[3] This in effect showed this identity's applicability to signal analysis.^[4]

In 1993, he became involved in genomic research as part of a group formed in Gif-sur-Yvette. He worked in this area with what eventually became the Laboratoire de Mathématique & Modélisation d'Evry until 2014.^[5]

Tributes

Grossmann's lifelong scientific achievements were commemorated at a scientific conference held in his honor and that of Yves Meyer on 12-13 June 2019 at the Institut de Mathématiques d'Orsay.^[6]

Publications

• Description of the Extended Tube (1960)^[7]
• Algebraic Characterization of the TCP Operation (1960)^[8]
• Schrödinger Scattering Amplitude (I) (1961)^[9]
• Schrödinger Scattering Amplitude (II) (1961)^[10]
• Schrödinger Scattering Amplitude (III) (1962)^[11]
• Nested Hilbert Spaces in Quantum Mechanics (I) (1964)^[12]
• Fields at a Point (1967)^[13]
• A class of explicitly soluble, local, many‐center Hamiltonians for one‐particle quantum mechanics in two and three dimensions (I) (1980)^[14]
• The one particle theory of periodic point interactions (1980)^[15]
• Fermi pseudopotential in higher dimensions (1981)^[16]
• Class of potentials with extremely narrow resonances. I. Case with discrete rotational symmetry^[17]
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape (1984)^[18]
  • Use of Wavelet transform in the Study of Propagation of Transient Acoustic Signals Across a Plane Interface Between Two Homogeneous Media (1984)^[19]
• Wavelets on Discrete Fields Kristin Flornes, Alex Grossmann, Matthias Holschneider, Bruno Torrésani Applied and Computational Harmonic Analysis (1994)^[20]
• Proceeding: Perspectives in Mathematical Physics, International Conference in honor of Alex Grossmann (1997)^[21]
• On the Analysis of Pairwise Alignments of Protein Sequences (1998)
• Transition Rate Matrices Determined By Families of Alignments Give Information About Evolution (1999)^[22]
• Rate Matrices for Analyzing Large Families of Protein Sequences (2001)^[23]
• Constructing Hierarchical Set Systems (2003)^[24]
• Rate matrices for analyzing large families of protein sequences (2004)
• Variable length local decoding and alignment-free sequence comparison (2012)^[25]

External links

• https://epubs.siam.org/doi/abs/10.1137/1.9780898718119.ch2

Notes and References

1. Web site: Alexander Grossmann. 9 December 2019. 2021-04-15.
2. Web site: A celebration for Alexandre Grossmann and Yves Meyer - Sciencesconf.org. grossmann-meyer.sciencesconf.org/resource/page/id/4. 2021-03-22.
3. 10.1137/0515056 . Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape . SIAM Journal on Mathematical Analysis. 15. 4. 723–736. 1984. Grossmann. A.. Morlet. J..
4. Book: Wavelets. limited. 15–33. 10.1137/1.9780898718119.ch2. 2. Wavelets from a Historical Perspective. 2001. 978-0-89871-448-7. Jaffard. Stephane. Meyer. Yves. Ryan. Robert D..
5. Web site: Alexandre J. Grossmann (1930 - 2019) - Centre de Physique Théorique.
6. Web site: A celebration for Alexandre Grossmann and Yves Meyer - Sciencesconf.org. grossmann-meyer.sciencesconf.org. 2019-08-05.
7. Grossmann . A. . 1960-03-01 . Description of the Extended Tube . Journal of Mathematical Physics . 1 . 2 . 85–86 . 10.1063/1.1703646 . 0022-2488.
8. Web site: Journal of Mathematical Physics . 2022-04-21 . ftp.math.utah.edu.
9. Grossmann . Alex . Wu . Tai Tsun . 1961-09-01 . Schrödinger Scattering Amplitude. I . Journal of Mathematical Physics . 2 . 5 . 710–713 . 10.1063/1.1703760 . 0022-2488.
10. Grossmann . Alex . 1961-09-01 . Schrödinger Scattering Amplitude. II . Journal of Mathematical Physics . 2 . 5 . 714–718 . 10.1063/1.1703761 . 0022-2488.
11. Grossmann . Alex . Wu . Tai Tsun . 1962-07-01 . Schrödinger Scattering Amplitude. III . Journal of Mathematical Physics . 3 . 4 . 684–689 . 10.1063/1.1724270 . 0022-2488.
12. Web site: Journal of Mathematical Physics . 2022-04-21 . ftp.math.utah.edu.
13. Grossmann . A. . January 1967 . Fields at a point . Communications in Mathematical Physics . 4 . 3 . 203–216 . 10.1007/BF01645430 . 122183444 . 0010-3616.
14. Grossmann . A. . Hoegh‐Krohn . R. . Mebkhout . M. . 1980-09-01 . A class of explicitly soluble, local, many‐center Hamiltonians for one‐particle quantum mechanics in two and three dimensions. I . Journal of Mathematical Physics . 21 . 9 . 2376–2385 . 10.1063/1.524694 . 0022-2488.
15. Grossmann . A. . Høegh-Krohn . R. . Mebkhout . M. . 1980-02-01 . The one particle theory of periodic point interactions . Communications in Mathematical Physics . en . 77 . 1 . 87–110 . 10.1007/BF01205040 . 10852/43920 . 121398787 . 1432-0916. free .
16. Grossmann . Alexander . Wu . Tai Tsun . 1984-06-01 . Fermi pseudopotential in higher dimensions . Journal of Mathematical Physics . 25 . 6 . 1742–1745 . 10.1063/1.526337 . 0022-2488.
17. Grossmann . Alexander . Wu . Tai Tsun . 1981-01-01 . Class of potentials with extremely narrow resonances. I. . Department of Energy report DOE/ER/03227-T2 . 10.2172/5195270.
18. Grossmann . A. . Morlet . J. . 1984-07-01 . Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape . SIAM Journal on Mathematical Analysis . 15 . 4 . 723–736 . 10.1137/0515056 . 0036-1410.
19. Ginette . S. . Grossmann . A. . Tchamitchian . Ph. . 1989 . Combes . Jean-Michel . Grossmann . Alexander . Tchamitchian . Philippe . Use of Wavelet Transforms in the Study of Propagation of Transient Acoustic Signals Across a Plane Interface Between Two Homogeneous Media . Wavelets . Inverse Problems and Theoretical Imaging . en . Berlin, Heidelberg . Springer . 139–146 . 10.1007/978-3-642-97177-8_9 . 978-3-642-97177-8.
20. Flornes . Kristin . Grossmann . Alex . Holschneider . Matthias . Torrésani . Bruno . 1994 . Wavelets on Discrete Fields . Applied and Computational Harmonic Analysis . 1 . 2 . 137–146 . 10.1006/acha.1994.1001. free .
21. Book: Saracco . Ginette . Proceeding: Perspectives in Mathematical Physics, International Conference in honor of Alex Grossmann, CIRM, Luminy, Marseille, France, 28th July - August 1st, 1997 . Holschneider . Matthias . 1998 . ISBN CNRS- UPR 7061, Marseille, Centre de Physique Théorique no CPT-98/P.3748.(210 pages) . Holschneider . Ginette Saracco & Matthias . Proceeding: Perspectives in Mathematical Physics, International Conference in honor of Alex Grossmann, CIRM, Luminy, Marseille, France, 28th July - August 1st, 1997 . CPT-98/P.3748.
22. Web site: Grossmann . Alexandre . 1999 . Transition Rate Matrices Determined By Families of Alignments Give Information About Evolution . Researchgate.
23. Web site: Grossman . Alexandre . etal . 2001 . Rate Matrices for Analyzing Large Families of Protein Sequences .
24. Devauchelle . Claudine. Dress . Andreas W. M. . Andreas Dress. Grossmann . Alexander. Grünewald . Stefan. Henaut . Alain. 2004. Constructing Hierarchical Set Systems. Annals of Combinatorics. 8. 441–456. 10.1.1.521.3593. 10.1007/s00026-004-0231-5.
25. Didier . Gilles . Corel . Eduardo . Laprevotte . Ivan . Grossmann . Alex . Landès-Devauchelle . Claudine . 2012-11-30 . Variable length local decoding and alignment-free sequence comparison . Theoretical Computer Science . en . 462 . 1–11 . 10.1016/j.tcs.2012.08.005 . 0304-3975. free .