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An interpolation approach to Schoenberg type inequalities
Quanyu Tang
https://arxiv.org/abs/2508.10341 https://arxiv.org/pdf/2508.10341

An interpolation approach to Schoenberg type inequalities
The classical Schoenberg inequality relates the squared moduli of the critical points of a polynomial to those of its zeros, under the condition that the centroid of the zeros lies at the origin. Its generalizations to other orders are referred to as Schoenberg type inequalities. While higher-order analogues have been established for certain even exponents, the general case remains poorly understood. In this paper, we substantially extend the known results by introducing an interpolation-based …

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Arnold Schoenberg & Leipziger Streichquartett:
🎵 String Quartet no 4 - II. Comodo
#ArnoldSchoenberg #LeipzigerStreichquartett
https://open.spotify.com/track/55s5lsvp8Vc5ctdrF5ITX8

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#ThroughTheNight
- Schoenberg, Gershwin and Rachmaninov
Elim Chan conducts the WDR Symphony Orchestra in Schoenberg's Piano Concerto and Gershwin's Rhapsody in Blue. Kirill Gerstein is the soloist in this sparkling performance.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002fk18

Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
Projesh Nath Choudhury, Raju Nandi
https://arxiv.org/abs/2508.10834 https://arxiv.o…

Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 1938] on Euclidean distance geometry. In this article, we study the QEC of graphs in terms of two graph operations: the Cartesian product and the join of graphs. We derive a general formula for the QEC of the join of an arbitrary graph with a regular graph and with a complete multipartite graph. We then provide quadratic…

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Canadian Chamber Ensemble, Schoenberg, Arnold, Johann Strauss II & Raffi Armenian:
🎵 Rosen aus dem Suden
#CanadianChamberEnsemble #Schoenberg #Arnold #JohannStraussII #RaffiArmenian

Tropical Toeplitz matrices and parametrisations
Konstanze Rietsch
https://arxiv.org/abs/2509.06944 https://arxiv.org/pdf/2509.06944

Tropical Toeplitz matrices and parametrisations
The set of infinite upper-triangular totally positive Toeplitz matrices has a classical parametrisation proved by Edrei et al and originally conjectured by Schoenberg, that involves pairs of sequences of positive real parameters. These matrices (and their parameters) are central for understanding characters of the infinite symmetric group by work of Thoma. On the other hand there is a very different parametrisation theorem that applies to the finite analogue of this set. These finite Toeplitz m…

Entrywise transforms preserving matrix positivity and non-positivity
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma, Chi Hoi Yip
https://arxiv.org/abs/2507.06076

Entrywise transforms preserving matrix positivity and non-positivity
We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definite. We refer to these transformations as sign preservers. Compared to classical work on entrywise preservers of Schoenberg and others, we completely resolve this problem in the harder fixed dimensional setting, extending a similar recent classification of sign preservers obtained for matrices over finite fields. When t…

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- The BBC Singers at the Aldeburgh Festival.
The BBC Singers at the Aldeburgh Festival in a programme of despair, hope and joy with music by Britten, Schoenberg and, to end, Poulenc's searing Figure humaine.
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https://www.bbc.co.uk/programmes/m002djzt

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Ludwig van Beethoven, Nikolaus Harnoncourt, Chamber Orchestra of Europe, Charlotte Margiono, Rudolf Schasching, Birgit Remmert, Robert Holl, Arnold Schoenberg Chor & Erwin Ortner:
🎵 Symphony No 4 in B flat major, Op 60 (3rd mvt)
https://open.spotify.com/track/58SnQKnGnDvJAWi1bR47P1
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🇺🇦 #NowPlaying on BBCRadio3's #Breakfast
Ludwig van Beethoven, Nikolaus Harnoncourt, Chamber Orchestra of Europe, Charlotte Margiono, Rudolf Schasching, Birgit Remmert, Robert Holl, Arnold Schoenberg Chor & Erwin Ortner:
🎵 Symphony No 4 in B flat major, Op 60 (3rd mvt)
https://open.spotify.com/track/58SnQKnGnDvJAWi1bR47P1

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Sydney Symphony Orchestra, Johann Sebastian Bach, Arnold Schönberg & Edo de Waart:
🎵 Prelude and fugue in E flat major BWV.552 (St Anne) orch. Schoenberg
#SydneySymphonyOrchestra #JohannSebastianBach #ArnoldSchönberg

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Sydney Symphony Orchestra, Johann Sebastian Bach, Arnold Schönberg & Edo de Waart:
🎵 Prelude and fugue in E flat major BWV.552 (St Anne) orch. Schoenberg
#SydneySymphonyOrchestra #JohannSebastianBach #ArnoldSchönberg

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Linus Ensemble, Schoenberg, Arnold & Johann Strauss II:
🎵 Roses from the South Op.388
#LinusEnsemble #Schoenberg #Arnold #JohannStraussII

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Arnold Schoenberg, Esbjerg Ensemble & JŸrgen Lauritsen:
🎵 Die Eiserne Brigade (The Iron Brigade)
#ArnoldSchoenberg #EsbjergEnsemble #JørgenLauritsen
https://open.spotify.com/track/18zBfahqocRCZFhoAEzrop

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Arnold Schoenberg, BBC Scottish Symphony Orchestra & Ryan Wigglesworth:
🎵 Verklärte Nacht (Transfigured Night) Op 4
#ArnoldSchoenberg #BBCScottishSymphonyOrchestra #RyanWigglesworth

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Arnold Schoenberg, Irwin Gage, Richard Dehmel & Arleen Augér:
🎵 Erwartung, Op 2 no 1
#ArnoldSchoenberg #IrwinGage #RichardDehmel #ArleenAugér
https://open.spotify.com/track/3bN7TGjz0qj33EZ6kdeMOl

🇺🇦 #NowPlaying on BBCRadio3's #Breakfast
Adam Schoenberg, Kansas City Symphony & Michael Stern:
🎵 Picture Studies (Pigeons in Flight)
#AdamSchoenberg #KansasCitySymphony #MichaelStern