Related papers: Reminiscences
We study memory in state-space language models using primacy and recency effects as behavioral tools to uncover how information is retained and forgotten over time. Applying structured recall tasks to the Mamba architecture, we observe a…
A personal choice is made of the highlights of the physics programme carried out at the Saturne-2 facility over the last twenty years.
We give a brief review of the work of Ramanujan on cranks that is found in the Lost Notebook. Recent work by Bruce Berndt and his coauthors have brought to light many interesting results of Ramanujan on cranks, which we highlight in this…
Consciousness is presented not as a unified and uniquely human characteristic, but rather as an emergent property of several building blocks, most of which are demonstrably present in other species. Each block has its own rationale under…
Rejoinder to "The Future of Indirect Evidence" [arXiv:1012.1161]
A survey of work on motivic integration.
I present here a collection of formulas inspired from the Ramanujan Notebooks. These formulas were found using an experimental method based on three widely available symbolic computation programs: PARI-Gp, Maple and Mathematica. A new…
These short (personal) notes appeared as the result of my attempt to address the question raised in the title.
In memoria of Vladimir Naumovich Gribov
We give an informal, expository account of a project to construct completions of period maps.
A recollection of special moments spent with Yakov Borisovich Zeldovich and with the scientists of Soviet Union and abroad.
Biographical essay at the occasion of the first death anniversary of Manfred Bonitz
Rejoinder of ``Statistical analysis of an archeological find'' [arXiv:0804.0079]
We present a conjecture about partitions, with a very elementary formulation.
This article is a collection of several memories for a special issue of SIGMA devoted to Dmitry Borisovich Fuchs.
We give new nested radical equations of similar kind to Ramanujan's questions to the Indian Mathematical Society 100 years ago. While many have since considered these from the perspectives of the Notebooks of Ramanujan and from the theory…
Plenary talk in Quark Matter 2005, Budapest.
We answer a question of Zadrozny.
We derive a general recurrence relation for squares of Fibonacci-like numbers. Various properties are developed, including double binomial summation identites.
Presents a history of the evolution of the author's ideas on program-size complexity and its applications to metamathematics over the course of more than four decades. Includes suggestions for further work.