Minggu, 21 Oktober 2012

[InaCombS] Reminder: Seminar: Random walks, Quantum walks, and Free Meixner Laws

 

Bapak/Ibu,

 

Kami mengundang Bapak/Ibu untuk hadir dalam seminar yang akan disampaikan oleh Prof. Nobuaki Obata (Graduate School of Information Sciences, Tohoku University) pada:

 

                Senin, 22 Oktober 2012

                Pk. 15.00 – 16.00

                Di Ruang Seminar I.2 Prodi Matematika, Labtek III Lantai 1.

 

----------------------------------------------------------------------------------

Random walks, Quantum walks, and Free Meixner Laws

Nobuaki Obata

Graduate School of Information Sciences

Tohoku University

 

In recent years, quantum walks have been studied extensively from various aspects in relation to quantum mechanics and quantum information. The concept of quantum walk was introduced as a quantum mechanical generalization of a random walk, but the correspondence is not straightforward. In this talk I will introduce the so-called Grover walk on a graph, in particular, on a spidernet, and discuss its peculiar property: localization.

 

A spidernet is a graph obtained from a rooted tree by suitably adding large cycles in each stratum defined by the distance from the root.

The free Meixner distribution appears as the spectral distribution of a spidernet [1], where the quantum probabilistic techniques are applied effectively [2]. It is well known that the spectrum of a graph is related to many properties of random walks. We will see that the spectral analysis is also applied effectively to showing the localization of Grover walks on spidernets [3].

 

References:

[1] D. Igarashi and N. Obata, Asymptotic spectral analysis of growing graphs: Odd graphs and spidernets, Banach Center Publications 73 (2006), 245-265.

[2] A. Hora and N. Obata, Quantum Probability and Spectral Analysis of Graphs, Springer, 2007.

[3] N. Konno, N. Obata and E. Segawa, Localization of the Grover walks on spidernets and free Meixner laws, arXiv:1206.4422 (June 2012).

 

 

Salam,

 

Dr. Rinovia Simanjuntak

Combinatorial Mathematics Research Group

Faculty of Mathematics and Natural Sciences

Institut Teknologi Bandung

Jl. Ganesa 10 Bandung 40132

Indonesia

Ph. +62-22-250-2545 Ext. 304

Fax. +62-22-250-6450

http://www.math.itb.ac.id/~rino

 

__._,_.___
Recent Activity:
Untuk Bergabung kirimkan emailmu pada alamat
InaCombS@yahoogroups.com
.

__,_._,___
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Minggu, 14 Oktober 2012

[InaCombS] Seminar: Random walks, Quantum walks, and Free Meixner Laws

 

Bapak/Ibu,

 

Kami mengundang Bapak/Ibu untuk hadir dalam seminar yang akan disampaikan oleh Prof. Nobuaki Obata (Graduate School of Information Sciences, Tohoku University) pada:

 

                Senin, 22 Oktober 2012

                Pk. 15.00 – 16.00

                Di Ruang Seminar I.2 Prodi Matematika, Labtek III Lantai 1.

 

----------------------------------------------------------------------------------

Random walks, Quantum walks, and Free Meixner Laws

Nobuaki Obata

Graduate School of Information Sciences

Tohoku University

 

In recent years, quantum walks have been studied extensively from various aspects in relation to quantum mechanics and quantum information. The concept of quantum walk was introduced as a quantum mechanical generalization of a random walk, but the correspondence is not straightforward. In this talk I will introduce the so-called Grover walk on a graph, in particular, on a spidernet, and discuss its peculiar property: localization.

 

A spidernet is a graph obtained from a rooted tree by suitably adding large cycles in each stratum defined by the distance from the root.

The free Meixner distribution appears as the spectral distribution of a spidernet [1], where the quantum probabilistic techniques are applied effectively [2]. It is well known that the spectrum of a graph is related to many properties of random walks. We will see that the spectral analysis is also applied effectively to showing the localization of Grover walks on spidernets [3].

 

References:

[1] D. Igarashi and N. Obata: Asymptotic spectral analysis of growing graphs: Odd graphs and spidernets, Banach Center Publications 73 (2006), 245-265.

[2] A. Hora and N. Obata: Quantum Probability and Spectral Analysis of Graphs Springer, 2007.

[3] N. Konno, N. Obata and E. Segawa: Localization of the Grover walks on spidernets and free Meixner laws, arXiv:1206.4422 (June 2012)

 

 

Salam,

 

Dr. Rinovia Simanjuntak

Combinatorial Mathematics Research Group

Faculty of Mathematics and Natural Sciences

Institut Teknologi Bandung

Jl. Ganesa 10 Bandung 40132

Indonesia

Ph. +62-22-250-2545 Ext. 304

Fax. +62-22-250-6450

http://www.math.itb.ac.id/~rino

 

__._,_.___
Recent Activity:
Untuk Bergabung kirimkan emailmu pada alamat
InaCombS@yahoogroups.com
.

__,_._,___
Diposting oleh di Tidak ada komentar:

Kamis, 11 Oktober 2012

[InaCombS] Lecture Series: Spectral Analysis of Large Networks: Quantum Probabilistic Approach and Applications

 

Bapak/Ibu,

 

Kami ingin mengingatkan kembali tentang lecture series yang diselenggarakan oleh KK Matematika Kombinatorika FMIPA-ITB  dan menyampaikan informasi mengenai perubahan ruangan.

 

Lecture Series

Spectral Analysis of Large Networks: Quantum Probabilistic Approach and Applications

 

Pembicara: Prof. Nobuaki Obata (Graduate School of Information Sciences, Tohoku University, Japan)

Waktu:

Senin, 15 Oktober 2012 Pk. 13.00 – 16.00 di Study Hall, Prodi Matematika, Labtek V, Lantai Dasar

Selasa, 16 Oktober 2012 Pk. 13.00 – 16.00 di Basic Science Center A, Lantai 1

Kamis, 18 Oktober 2012 Pk. 13.00 – 16.00 Study Hall, Prodi Matematika, Labtek V, Lantai Dasar

 

Tentang Pembicara

Prof. Obata adalah Division Manager for Mathematics Group dan Deputy Director of Collaborative Mathematics Research Unit di Graduate School of Information Sciences, Tohoku University sejak tahun 2010. Beliau adalah anggota editorial board dari berbagai journal, di antaranya Probability and Mathematical Statistics, Complex Analysis and Operator Theory, Stochastic Analysis and Applications, Infinite Dimensional Analysis, Quantum Probability and Related Topics, dan Interdisciplinary Information Sciences. Beliau juga telah menulis 2 buku dan lebih dari 60 artikel dalam peer-refereed journal. Lecture series yang akan diberikan kali ini diambil dari buku Quantum Probability and Spectral Analysis of Graphs: Theoretical and Mathematical Physics yang ditulis oleh  N. Obata bersama A. Hora dan diterbitkan oleh Springer pada tahun 2007.

 

Tidak dikenakan biaya untuk mengikuti lecture series ini. Bapak/Ibu yang berminat untuk mengikutinya ini harap mendaftarkan diri melalui email rino@math.itb.ac.id paling lambat Jumat, 12 Oktober 2012.

 

Salam,

Dr. Rinovia Simanjuntak

Combinatorial Mathematics Research Group

Faculty of Mathematics and Natural Sciences

Institut Teknologi Bandung

Jl. Ganesa 10 Bandung 40132

Indonesia

Ph. +62-22-250-2545 Ext. 304

Fax. +62-22-250-6450

http://www.math.itb.ac.id/~rino

 

__._,_.___
Recent Activity:
Untuk Bergabung kirimkan emailmu pada alamat
InaCombS@yahoogroups.com
.

__,_._,___
Diposting oleh di Tidak ada komentar:

Selasa, 09 Oktober 2012

[InaCombS] Lecture Series: Spectral Analysis of Large Networks: Quantum Probabilistic Approach and Applications

 

Bapak/Ibu,

 

 

KK Matematika Kombinatorika FMIPA-ITB dan I-MHERE FMIPA-ITB mengundang Bapak/Ibu untuk hadir dalam lecture series:

 

Spectral Analysis of Large Networks: Quantum Probabilistic Approach and Applications

Pembicara: Prof. Nobuaki Obata (Graduate School of Information Sciences, Tohoku University, Japan)

Waktu:

Senin, 15 Oktober 2012 Pk. 13.00 – 16.00

Selasa, 16 Oktober 2012 Pk. 13.00 – 16.00

Kamis, 17 Oktober 2012 Pk. 13.00 – 16.00

Tempat: Study Hall, Prodi Matematika, Labtek V, Lantai Dasar

 

Tentang Pembicara

Prof. Obata adalah Division Manager for Mathematics Group dan Deputy Director of Collaborative Mathematics Research Unit di Graduate School of Information Sciences, Tohoku University sejak tahun 2010. Beliau adalah anggota editorial board dari berbagai journal, di antaranya Probability and Mathematical Statistics, Complex Analysis and Operator Theory, Stochastic Analysis and Applications, Infinite Dimensional Analysis, Quantum Probability and Related Topics, dan Interdisciplinary Information Sciences. Beliau juga telah menulis 2 buku dan lebih dari 60 artikel dalam peer-refereed journal. Lecture series yang akan diberikan kali ini diambil dari buku Quantum Probability and Spectral Analysis of Graphs: Theoretical and Mathematical Physics yang ditulis oleh  N. Obata bersama A. Hora dan diterbitkan oleh Springer pada tahun 2007.

 

Bapak/Ibu yang berminat untuk mengikuti Lecture Series ini harap mendaftarkan diri melalui email rino@math.itb.ac.id paling lambat Jumat, 12 Oktober 2012.

 

 

Salam,

 

Dr. Rinovia Simanjuntak

Combinatorial Mathematics Research Group

Faculty of Mathematics and Natural Sciences

Institut Teknologi Bandung

Jl. Ganesa 10 Bandung 40132

Indonesia

Ph. +62-22-250-2545 Ext. 304

Fax. +62-22-250-6450

http://www.math.itb.ac.id/~rino

 

__._,_.___
Recent Activity:
Untuk Bergabung kirimkan emailmu pada alamat
InaCombS@yahoogroups.com
.

__,_._,___
Diposting oleh di Tidak ada komentar:
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